## 8-Cube =~ Hamming graph H(8,2) cube8:=EdgeOrbitsGraph( Group( [ ( 1, 32,109,149, 90, 71, 54,206)( 2, 16, 45,157, 89, 87,118,198)( 3, 64,237,145, 92,103,182,202) ( 4, 48,173,153, 91,119,246,194)( 5, 30, 77, 21, 94, 69, 22, 78)( 6, 14, 13, 29, 93, 85, 86, 70) ( 7, 62,205, 17, 96,101,150, 74)( 8, 46,141, 25, 95,117,214, 66)( 9, 31,125,213, 82, 72, 38,142) ( 10, 15, 61,221, 81, 88,102,134)( 11, 63,253,209, 84,104,166,138)( 12, 47,189,217, 83,120,230,130) ( 18, 80, 37,158, 73, 23,126,197)( 19,128,229,146, 76, 39,190,201)( 20,112,165,154, 75, 55,254,193) ( 24,110,133, 26, 79, 53,222, 65)( 27,127,245,210, 68, 40,174,137)( 28,111,181,218, 67, 56,238,129) ( 33,160,105,151,122,199, 50,208)( 34,144, 41,159,121,215,114,200)( 35,192,233,147,124,231,178,204) ( 36,176,169,155,123,247,242,196)( 42,143, 57,223,113,216, 98,136)( 43,191,249,211,116,232,162,140) ( 44,175,185,219,115,248,226,132)( 49,224, 97,152,106,135, 58,207)( 51,256,225,148,108,167,186,203) ( 52,240,161,156,107,183,250,195)( 59,255,241,212,100,168,170,139)( 60,239,177,220, 99,184,234,131) (163,188,235,179,252,227,180,236)(164,172,171,187,251,243,244,228), ( 1, 40,208, 73, 37,136, 76,109,133, 4,112,205)( 2,104,206, 65, 38,200, 74,101,134, 68,110,197) ( 3, 48,207, 9, 39,144, 75, 45,135, 12,111,141)( 5, 8, 80, 77)( 6, 72, 78, 69)( 7, 16, 79, 13) ( 10,103,142, 67, 46,199)( 11, 47,143)( 14, 71)( 17, 56,224, 89, 53,152, 92,125,149, 20,128,221) ( 18,120,222, 81, 54,216, 90,117,150, 84,126,213)( 19, 64,223, 25, 55,160, 91, 61,151, 28,127,157) ( 21, 24, 96, 93)( 22, 88, 94, 85)( 23, 32, 95, 29)( 26,119,158, 83, 62,215)( 27, 63,159)( 30, 87) ( 33,168,204,105,165,132,108,237,129, 36,240,201)( 34,232,202, 97,166,196,106,229,130,100,238,193) ( 35,176,203, 41,167,140,107,173,131, 44,239,137)( 42,231,138, 99,174,195)( 43,175,139)( 49,184,220,121,181, 148,124,253,145, 52,256,217)( 50,248,218,113,182,212,122,245,146,116,254,209)( 51,192,219, 57,183,156,123,189, 147, 60,255,153)( 58,247,154,115,190,211)( 59,191,155)( 66,102,198)( 82,118,214)( 98,230,194)(114,246,210) (161,164,236,233)(162,228,234,225)(163,172,235,169)(170,227)(177,180,252,249)(178,244,250,241)(179,188,251,185) (186,243) ] ), [[1,2]]);