Extensions 1→N→G→Q→1 with N=C8 and Q=C4×D5

Direct product G=N×Q with N=C8 and Q=C4×D5
dρLabelID
D5×C4×C8160D5xC4xC8320,311

Semidirect products G=N:Q with N=C8 and Q=C4×D5
extensionφ:Q→Aut NdρLabelID
C81(C4×D5) = C42.16D10φ: C4×D5/C10C22 ⊆ Aut C8160C8:1(C4xD5)320,337
C82(C4×D5) = D409C4φ: C4×D5/C10C22 ⊆ Aut C8160C8:2(C4xD5)320,338
C83(C4×D5) = C8⋊(C4×D5)φ: C4×D5/C10C22 ⊆ Aut C8160C8:3(C4xD5)320,488
C84(C4×D5) = D4015C4φ: C4×D5/C10C22 ⊆ Aut C8160C8:4(C4xD5)320,496
C85(C4×D5) = C4020(C2×C4)φ: C4×D5/C10C22 ⊆ Aut C8160C8:5(C4xD5)320,508
C86(C4×D5) = C4021(C2×C4)φ: C4×D5/C10C22 ⊆ Aut C8160C8:6(C4xD5)320,516
C87(C4×D5) = D4012C4φ: C4×D5/Dic5C2 ⊆ Aut C8160C8:7(C4xD5)320,499
C88(C4×D5) = Dic58SD16φ: C4×D5/Dic5C2 ⊆ Aut C8160C8:8(C4xD5)320,479
C89(C4×D5) = D10.6C42φ: C4×D5/Dic5C2 ⊆ Aut C8160C8:9(C4xD5)320,334
C810(C4×D5) = C4×D40φ: C4×D5/C20C2 ⊆ Aut C8160C8:10(C4xD5)320,319
C811(C4×D5) = C4×C40⋊C2φ: C4×D5/C20C2 ⊆ Aut C8160C8:11(C4xD5)320,318
C812(C4×D5) = C4×C8⋊D5φ: C4×D5/C20C2 ⊆ Aut C8160C8:12(C4xD5)320,314
C813(C4×D5) = D5×C2.D8φ: C4×D5/D10C2 ⊆ Aut C8160C8:13(C4xD5)320,506
C814(C4×D5) = D5×C4.Q8φ: C4×D5/D10C2 ⊆ Aut C8160C8:14(C4xD5)320,486
C815(C4×D5) = D5×C8⋊C4φ: C4×D5/D10C2 ⊆ Aut C8160C8:15(C4xD5)320,331

Non-split extensions G=N.Q with N=C8 and Q=C4×D5
extensionφ:Q→Aut NdρLabelID
C8.1(C4×D5) = D4014C4φ: C4×D5/C10C22 ⊆ Aut C8804C8.1(C4xD5)320,46
C8.2(C4×D5) = D40.6C4φ: C4×D5/C10C22 ⊆ Aut C8804+C8.2(C4xD5)320,53
C8.3(C4×D5) = C40.8D4φ: C4×D5/C10C22 ⊆ Aut C81604-C8.3(C4xD5)320,54
C8.4(C4×D5) = D40.4C4φ: C4×D5/C10C22 ⊆ Aut C8804+C8.4(C4xD5)320,74
C8.5(C4×D5) = C20.4D8φ: C4×D5/C10C22 ⊆ Aut C81604-C8.5(C4xD5)320,75
C8.6(C4×D5) = D408C4φ: C4×D5/C10C22 ⊆ Aut C8804C8.6(C4xD5)320,76
C8.7(C4×D5) = Dic209C4φ: C4×D5/C10C22 ⊆ Aut C8320C8.7(C4xD5)320,343
C8.8(C4×D5) = D4010C4φ: C4×D5/C10C22 ⊆ Aut C8804C8.8(C4xD5)320,344
C8.9(C4×D5) = Dic2015C4φ: C4×D5/C10C22 ⊆ Aut C8320C8.9(C4xD5)320,480
C8.10(C4×D5) = M4(2).25D10φ: C4×D5/C10C22 ⊆ Aut C8804C8.10(C4xD5)320,520
C8.11(C4×D5) = D4016C4φ: C4×D5/C10C22 ⊆ Aut C8804C8.11(C4xD5)320,521
C8.12(C4×D5) = C40.5D4φ: C4×D5/Dic5C2 ⊆ Aut C8160C8.12(C4xD5)320,49
C8.13(C4×D5) = C10.Q32φ: C4×D5/Dic5C2 ⊆ Aut C8320C8.13(C4xD5)320,50
C8.14(C4×D5) = D40.5C4φ: C4×D5/Dic5C2 ⊆ Aut C81604C8.14(C4xD5)320,55
C8.15(C4×D5) = Dic55Q16φ: C4×D5/Dic5C2 ⊆ Aut C8320C8.15(C4xD5)320,500
C8.16(C4×D5) = D4013C4φ: C4×D5/Dic5C2 ⊆ Aut C8804C8.16(C4xD5)320,522
C8.17(C4×D5) = D20.5C8φ: C4×D5/Dic5C2 ⊆ Aut C81604C8.17(C4xD5)320,534
C8.18(C4×D5) = C40.78D4φ: C4×D5/C20C2 ⊆ Aut C8320C8.18(C4xD5)320,61
C8.19(C4×D5) = D407C4φ: C4×D5/C20C2 ⊆ Aut C8160C8.19(C4xD5)320,67
C8.20(C4×D5) = D40.3C4φ: C4×D5/C20C2 ⊆ Aut C81602C8.20(C4xD5)320,68
C8.21(C4×D5) = C4×Dic20φ: C4×D5/C20C2 ⊆ Aut C8320C8.21(C4xD5)320,325
C8.22(C4×D5) = D4017C4φ: C4×D5/C20C2 ⊆ Aut C8802C8.22(C4xD5)320,327
C8.23(C4×D5) = D20.6C8φ: C4×D5/C20C2 ⊆ Aut C81602C8.23(C4xD5)320,528
C8.24(C4×D5) = C40.2Q8φ: C4×D5/D10C2 ⊆ Aut C8320C8.24(C4xD5)320,47
C8.25(C4×D5) = C10.SD32φ: C4×D5/D10C2 ⊆ Aut C8320C8.25(C4xD5)320,48
C8.26(C4×D5) = C40.7Q8φ: C4×D5/D10C2 ⊆ Aut C81604C8.26(C4xD5)320,51
C8.27(C4×D5) = C8.27(C4×D5)φ: C4×D5/D10C2 ⊆ Aut C8160C8.27(C4xD5)320,507
C8.28(C4×D5) = C8.Dic10φ: C4×D5/D10C2 ⊆ Aut C8804C8.28(C4xD5)320,45
C8.29(C4×D5) = C40.6Q8φ: C4×D5/D10C2 ⊆ Aut C8804C8.29(C4xD5)320,52
C8.30(C4×D5) = (C8×D5)⋊C4φ: C4×D5/D10C2 ⊆ Aut C8160C8.30(C4xD5)320,487
C8.31(C4×D5) = D5×C8.C4φ: C4×D5/D10C2 ⊆ Aut C8804C8.31(C4xD5)320,519
C8.32(C4×D5) = C20.45C42φ: C4×D5/D10C2 ⊆ Aut C8804C8.32(C4xD5)320,24
C8.33(C4×D5) = C80⋊C4φ: C4×D5/D10C2 ⊆ Aut C8804C8.33(C4xD5)320,70
C8.34(C4×D5) = D10.7C42φ: C4×D5/D10C2 ⊆ Aut C8160C8.34(C4xD5)320,335
C8.35(C4×D5) = D5×M5(2)φ: C4×D5/D10C2 ⊆ Aut C8804C8.35(C4xD5)320,533
C8.36(C4×D5) = D5×C32central extension (φ=1)1602C8.36(C4xD5)320,4
C8.37(C4×D5) = C32⋊D5central extension (φ=1)1602C8.37(C4xD5)320,5
C8.38(C4×D5) = C4×C52C16central extension (φ=1)320C8.38(C4xD5)320,18
C8.39(C4×D5) = C40.10C8central extension (φ=1)320C8.39(C4xD5)320,19
C8.40(C4×D5) = C16×Dic5central extension (φ=1)320C8.40(C4xD5)320,58
C8.41(C4×D5) = C8017C4central extension (φ=1)320C8.41(C4xD5)320,60
C8.42(C4×D5) = D10.5C42central extension (φ=1)160C8.42(C4xD5)320,316
C8.43(C4×D5) = D5×C2×C16central extension (φ=1)160C8.43(C4xD5)320,526
C8.44(C4×D5) = C2×C80⋊C2central extension (φ=1)160C8.44(C4xD5)320,527

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