#alg type in dimension 6
#number of irreducibles : 22
#gl class number : 60

---
class 0:
[010000 001000 000100 000010 000001 101011]000000
centralizer=63
[110000 011000 001100 000110 000011 101010]000000
(000000) x 64
---
class 1:
[010000 001000 000100 000010 000001 110011]000000
centralizer=63
[110000 011000 001100 000110 000011 110010]000000
[010000 001000 000100 000010 000001 110011]000000
(000000) x 64
---
class 2:
[010000 001000 000100 000010 000001 101101]000000
centralizer=63
[110000 011000 001100 000110 000011 101100]000000
(000000) x 64
---
class 3:
[010000 001000 000100 000010 000001 111001]000000
centralizer=63
[110000 011000 001100 000110 000011 111000]000000
(000000) x 64
---
class 4:
[010000 001000 000100 000010 000001 100001]000000
centralizer=63
[110000 011000 001100 000110 000011 100000]000000
(000000) x 64
---
class 5:
[010000 001000 000100 000010 000001 110110]000000
centralizer=63
[110000 011000 001100 000110 000011 110111]000000
[010000 001000 000100 000010 000001 110110]000000
(000000) x 64
---
class 6:
[010000 001000 000100 000010 000001 111010]000000
centralizer=63
[110000 011000 001100 000110 000011 111011]000000
(000000) x 64
---
class 7:
[010000 001000 000100 000010 000001 100100]000000
centralizer=63
[110000 011000 001100 000110 000011 100101]000000
(000000) x 64
---
class 8:
[010000 001000 000100 000010 000001 110000]000000
centralizer=63
[110000 011000 001100 000110 000011 110001]000000
[010000 001000 000100 000010 000001 110000]000000
(000000) x 64
---
class 9:
[010000 001000 000100 000010 000001 100010]000000
centralizer=56
[110000 011000 001100 000110 000011 100011]000000
[010000 001000 000100 000010 000001 100010]000000
[111000 011100 001110 000111 100001 110010]000000
(000000) x 64
---
class 10:
[010000 001000 101000 000010 000001 000101]000000
centralizer=3528
[110000 011000 100000 000110 000011 000100]000000
[111011 110100 011010 011000 100000 010000]000000
[100000 010000 001000 001001 101101 111111]000000
(000000) x 64
---
class 11:
[010000 001000 000100 000010 000001 101000]000000
centralizer=56
[110000 011000 001100 000110 000011 101001]000000
[010000 001000 000100 000010 000001 101000]000000
[111000 011100 001110 000111 101011 111101]000000
(000000) x 64
---
class 12:
[010000 001000 000100 000010 000001 111111]000000
centralizer=49
[110000 011000 001100 000110 000011 111110]000000
[010000 001000 000100 000010 000001 111111]000000
(000000) x 64
---
class 13:
[010000 001000 110000 000010 000001 000110]000000
centralizer=3528
[110000 011000 111000 000110 000011 000111]000000
[100000 010000 001000 110101 011100 111010]000000
[100101 010100 001010 110101 011100 111010]000000
(000000) x 64
---
class 14:
[010000 001000 000100 000010 000001 110101]000000
centralizer=48
[110000 011000 001100 000110 000011 110100]000000
[010000 001000 000100 000010 000001 110101]000000
(000000) x 64
---
class 15:
[010000 110000 000100 000010 000001 001010]000000
centralizer=576
[110000 100000 001100 000110 000011 001011]000000
[100000 010000 000001 001010 000101 001000]000000
[100000 010000 010110 110011 101011 011111]000000
[110111 101001 100101 011000 110100 100010]000000
[100000 010000 010101 111000 100100 010010]000000
(000000) x 64
---
class 16:
[010000 001000 000100 000010 000001 101110]000000
centralizer=45
[110000 011000 001100 000110 000011 101111]000000
[010000 001000 000100 000010 000001 101110]000000
(000000) x 64
---
class 17:
[010000 001000 000100 000010 000001 111100]000000
centralizer=45
[110000 011000 001100 000110 000011 111101]000000
[010000 001000 000100 000010 000001 111100]000000
(000000) x 64
---
class 18:
[010000 001000 000100 000010 000001 100111]000000
centralizer=45
[110000 011000 001100 000110 000011 100110]000000
[010000 001000 000100 000010 000001 100111]000000
(000000) x 64
---
class 19:
[010000 110000 000100 001100 000001 000011]000000
centralizer=181440
[110000 100000 001100 001000 000011 000010]000000
[110011 100010 001100 001000 000001 000011]000000
[110001 100011 001111 001010 000001 000011]000000
[100000 010000 000111 001110 000011 000010]000000
[111110 101001 001111 001010 000001 000011]000000
[100000 010000 101001 010111 000001 000011]000000
[100000 010000 000011 000010 111000 100100]000000
(000000) x 64
---
class 20:
[010000 001000 000100 000010 000001 101010]000000
centralizer=32
[010000 001000 000100 000010 000001 101010]000000
[111000 011100 001110 000111 101001 111110]000000
[101100 010110 001011 101111 111101 110100]000000
(000000) x 32
(100000) x 32
---
class 21:
[100000 001000 000100 000010 000001 011001]000000
centralizer=64
[100000 001000 000100 000010 000001 011001]000000
[100000 011100 001110 000111 011010 001101]000000
[110001 001000 000100 000010 000001 011001]000000
[100000 110011 110000 101000 100100 100010]000000
(000000) x 16
(100000) x 16
(010000) x 32
---
class 22:
[010000 001000 000100 000010 000001 111011]000000
centralizer=24
[010000 001000 000100 000010 000001 111011]000000
[101100 010110 001011 111110 011111 110100]000000
(000000) x 32
(100000) x 32
---
class 23:
[010000 100000 000100 000010 000001 001000]000000
centralizer=256
[010000 100000 000100 000010 000001 001000]000000
[100000 010000 001101 001110 000111 001011]000000
[100000 010000 001110 000111 001011 001101]000000
[100000 010000 011110 100111 011011 101101]000000
[010101 101010 101110 010111 101011 011101]000000
(000000) x 16
(100000) x 16
(001000) x 32
---
class 24:
[100000 010000 000100 000010 000001 001000]000000
centralizer=768
[100000 010000 000100 000010 000001 001000]000000
[100000 010000 001110 000111 001011 001101]000000
[010000 111111 001000 000100 000010 000001]000000
[110000 011111 101000 100100 100010 100001]000000
[100000 010000 101000 100100 100010 100001]000000
(000000) x 8
(100000) x 24
(001000) x 32
---
class 25:
[010000 001000 000100 000010 000001 110100]000000
centralizer=28
[010000 001000 000100 000010 000001 110100]000000
(000000) x 32
(100000) x 32
---
class 26:
[010000 001000 000100 000010 000001 100101]000000
centralizer=28
[010000 001000 000100 000010 000001 100101]000000
(000000) x 32
(100000) x 32
---
class 27:
[010000 001000 111000 000010 000001 000111]000000
centralizer=1536
[010000 001000 111000 000010 000001 000111]000000
[100000 010000 001000 001111 111100 100010]000000
[100000 010000 001000 000111 000100 000010]000000
[010001 001111 111100 100110 010011 001110]000000
(000000) x 16
(100000) x 48
---
class 28:
[100000 001000 010000 000010 000001 000111]000000
centralizer=2048
[100000 001000 010000 000010 000001 000111]000000
[100101 101101 110101 010111 001100 010010]000000
[100000 010000 001000 110100 101010 110001]000000
[100000 010000 001000 011010 011001 011111]000000
[100000 101110 110011 110010 101001 110111]000000
[100000 001110 010011 110010 101001 110111]000000
[111000 010110 001011 010001 001111 010100]000000
(000000) x 8
(100000) x 8
(010000) x 16
(000100) x 32
---
class 29:
[100000 001000 000100 000010 000001 010110]000000
centralizer=48
[100000 001000 000100 000010 000001 010110]000000
[111011 100010 100001 110110 101011 110011]000000
[100000 111111 111001 111010 101101 110000]000000
(000000) x 16
(100000) x 16
(010000) x 32
---
class 30:
[100000 010000 001000 000010 000001 000111]000000
centralizer=43008
[100000 010000 001000 000010 000001 000111]000000
[001101 010000 111101 001001 001111 001100]000000
[011101 010000 111101 011001 011111 011100]000000
[100000 010000 101000 101001 101111 101100]000000
[100000 101101 111101 001100 001010 001001]000000
(000000) x 4
(100000) x 28
(000100) x 32
---
class 31:
[010000 001000 000100 000010 000001 110001]000000
centralizer=30
[010000 001000 000100 000010 000001 110001]000000
[111000 011100 001110 000111 110010 011001]000000
(000000) x 32
(100000) x 32
---
class 32:
[010000 001000 000100 000010 000001 101111]000000
centralizer=30
[010000 001000 000100 000010 000001 101111]000000
(000000) x 32
(100000) x 32
---
class 33:
[010000 001000 000100 000010 000001 111110]000000
centralizer=30
[010000 001000 000100 000010 000001 111110]000000
(000000) x 32
(100000) x 32
---
class 34:
[010000 001000 000100 000010 000001 100000]000000
centralizer=24
[010000 001000 000100 000010 000001 100000]000000
[101100 010110 001011 100101 110010 011001]000000
[110100 011010 001101 100110 010011 101001]000000
(000000) x 32
(100000) x 32
---
class 35:
[010000 110000 000100 000010 000001 001101]000000
centralizer=360
[010000 110000 000100 000010 000001 001101]000000
[100000 010000 010010 110001 101101 011011]000000
[100000 010000 100010 010001 111101 101011]000000
[111010 100101 111110 100111 011110 110111]000000
(000000) x 32
(001000) x 32
---
class 36:
[010000 100000 000100 000010 000001 001101]000000
centralizer=288
[010000 100000 000100 000010 000001 001101]000000
[011001 101001 101101 011011 101000 010100]000000
[011110 100111 100101 011111 101010 010101]000000
(000000) x 16
(100000) x 48
---
class 37:
[010000 100000 000100 001000 000001 000010]000000
centralizer=86016
[010000 100000 000100 001000 000001 000010]000000
[000001 000010 000100 001000 010000 100000]000000
[000101 001010 000100 001000 010000 100000]000000
[100000 010000 011000 100100 000010 000001]000000
(000000) x 8
(100000) x 56
---
class 38:
[100000 010000 000100 001000 000001 000010]000000
centralizer=147456
[100000 010000 000100 001000 000001 000010]000000
[100000 111111 000111 001011 010101 011010]000000
[110000 011111 110110 111001 100111 101011]000000
(000000) x 4
(100000) x 12
(001000) x 48
---
class 39:
[100000 001000 000100 000010 000001 010011]000000
centralizer=56
[100000 001000 000100 000010 000001 010011]000000
[111101 110011 111010 101101 110101 111001]000000
[100000 101000 100100 100010 100001 110011]000000
(000000) x 16
(100000) x 16
(010000) x 32
---
class 40:
[100000 001000 000100 000010 000001 011100]000000
centralizer=56
[100000 001000 000100 000010 000001 011100]000000
[110111 000001 011100 001110 000111 011111]000000
[100000 101011 111001 110000 101000 100100]000000
(000000) x 16
(100000) x 16
(010000) x 32
---
class 41:
[100000 010000 000100 000010 000001 001101]000000
centralizer=576
[100000 010000 000100 000010 000001 001101]000000
[010000 100000 010100 010010 010001 011101]000000
[011001 100000 010100 010010 010001 011101]000000
[111001 101001 010010 010001 011101 011011]000000
(000000) x 8
(100000) x 24
(001000) x 32
---
class 42:
[100000 010000 001000 000100 000001 000010]000000
centralizer=10321920
[100000 010000 001000 000100 000001 000010]000000
[110000 110100 111000 011000 011001 011010]000000
[100000 111100 001000 000100 000010 000001]000000
[100000 000100 011000 110100 100010 100001]000000
[111011 110000 100000 000100 111001 111010]000000
(000000) x 2
(100000) x 30
(000010) x 32
---
class 43:
[010000 001000 000100 000010 000001 111000]000000
centralizer=31
[010000 001000 000100 000010 000001 111000]000000
(000000) x 32
(100000) x 32
---
class 44:
[010000 001000 000100 000010 000001 101100]000000
centralizer=31
[010000 001000 000100 000010 000001 101100]000000
(000000) x 32
(100000) x 32
---
class 45:
[010000 001000 000100 000010 000001 100110]000000
centralizer=31
[010000 001000 000100 000010 000001 100110]000000
(000000) x 32
(100000) x 32
---
class 46:
[010000 001000 000100 000010 000001 100011]000000
centralizer=31
[010000 001000 000100 000010 000001 100011]000000
(000000) x 32
(100000) x 32
---
class 47:
[010000 001000 000100 000010 000001 110111]000000
centralizer=31
[010000 001000 000100 000010 000001 110111]000000
(000000) x 32
(100000) x 32
---
class 48:
[010000 001000 000100 000010 000001 111101]000000
centralizer=31
[010000 001000 000100 000010 000001 111101]000000
(000000) x 32
(100000) x 32
---
class 49:
[010000 001000 000100 000010 000001 101001]000000
centralizer=21
[010000 001000 000100 000010 000001 101001]000000
(000000) x 32
(100000) x 32
---
class 50:
[010000 001000 000100 000010 000001 110010]000000
centralizer=21
[010000 001000 000100 000010 000001 110010]000000
(000000) x 32
(100000) x 32
---
class 51:
[100000 001000 000100 000010 000001 010000]000000
centralizer=90
[100000 001000 000100 000010 000001 010000]000000
[100000 011100 001110 000111 010011 011001]000000
[011111 110110 101011 110101 111010 101101]000000
[100000 100010 100001 110000 101000 100100]000000
(000000) x 16
(100000) x 48
---
class 52:
[100000 001000 000100 000010 000001 011010]000000
centralizer=90
[100000 001000 000100 000010 000001 011010]000000
[010011 110101 110000 101000 100100 100010]000000
[100000 110101 110000 101000 100100 100010]000000
(000000) x 16
(100000) x 48
---
class 53:
[100000 001000 000100 000010 000001 010101]000000
centralizer=90
[100000 001000 000100 000010 000001 010101]000000
[111001 111101 111011 111000 101100 100110]000000
[100000 110101 111111 111010 101101 110011]000000
(000000) x 16
(100000) x 48
---
class 54:
[100000 001000 000100 000010 000001 011111]000000
centralizer=72
[100000 001000 000100 000010 000001 011111]000000
[100000 010110 001011 011010 001101 011001]000000
[110101 011111 010000 001000 000100 000010]000000
[010101 100001 111111 110000 101000 100100]000000
(000000) x 16
(100000) x 48
---
class 55:
[010000 001000 100000 000010 000001 000100]000000
centralizer=1080
[010000 001000 100000 000010 000001 000100]000000
[000100 000010 000001 001000 100000 010000]000000
[001100 100010 010001 011100 101010 110001]000000
(000000) x 16
(100000) x 48
---
class 56:
[100000 010000 000100 000010 000001 001110]000000
centralizer=1176
[100000 010000 000100 000010 000001 001110]000000
[101011 011011 000010 000001 001110 000111]000000
[011011 111011 000010 000001 001110 000111]000000
[100000 010000 110001 111110 110111 111101]000000
(000000) x 8
(100000) x 56
---
class 57:
[100000 010000 000100 000010 000001 001011]000000
centralizer=1176
[100000 010000 000100 000010 000001 001011]000000
[001101 110000 100111 101000 100100 100010]000000
[100000 010000 100001 101011 101110 100111]000000
[011101 110000 001011 001110 000111 001000]000000
(000000) x 8
(100000) x 56
---
class 58:
[100000 010000 001000 000010 000001 000100]000000
centralizer=60480
[100000 010000 001000 000010 000001 000100]000000
[101000 001000 100111 010100 010010 010001]000000
[100000 010000 011000 000100 000010 000001]000000
[100000 010000 100111 111010 111001 111100]000000
(000000) x 4
(100000) x 60
---
class 59:
[100000 010000 001000 000100 000010 000001]000000
centralizer=20158709760
[011100 000010 001000 000001 110110 101100]000000
[010100 000010 001000 000001 110110 101100]000000
[100000 001011 010011 111111 100100 111010]000000
(000000) x 1
(100000) x 63
***
#number of gl class :60
#number of ag class :112

Bye!