using group
[1000000 0100000 0010000 0001000 0000100 0000010 0000001]0000001
[1100000 0100000 0010000 0001000 0000100 0000010 0000001]0000000
[0000001 1000000 0100000 0010000 0001000 0000100 0000010]0000000
hdr=0
orb=1

hdr=123
orb=11811

hdr=137+237+147+247+157+267+467
orb=1763776

hdr=145+123
orb=2314956

hdr=123+456
orb=45354240

hdr=123+245+346
orb=59527440 

hdr=123+145+246+356+456
orb=21165312 

hdr=124+235+346+457+561+267+137
orb=238109760 

hdr=712+724+134+234+135+745+146
orb=444471552

hdr=127+123+147+245+167
orb=2222357760

hdr=127+123+234+345+456+567+617
orb=13545799680 

hdr=127+234+125+457+245+167+126
orb=17778862080