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Extensions 1→N→G→Q→1 with N=C4 and Q=C40⋊C2

Direct product G=N×Q with N=C4 and Q=C40⋊C2
dρLabelID
C4×C40⋊C2160C4xC40:C2320,318

Semidirect products G=N:Q with N=C4 and Q=C40⋊C2
extensionφ:Q→Aut NdρLabelID
C4⋊1(C40⋊C2) = C8⋊5D20φ: C40⋊C2/C40 → C2 ⊆ Aut C4160C4:1(C40:C2)320,320
C4⋊2(C40⋊C2) = Dic10⋊8D4φ: C40⋊C2/Dic10 → C2 ⊆ Aut C4160C4:2(C40:C2)320,475
C4⋊3(C40⋊C2) = C20⋊SD16φ: C40⋊C2/D20 → C2 ⊆ Aut C4160C4:3(C40:C2)320,468

Non-split extensions G=N.Q with N=C4 and Q=C40⋊C2
extensionφ:Q→Aut NdρLabelID
C4.1(C40⋊C2) = C40.78D4φ: C40⋊C2/C40 → C2 ⊆ Aut C4320C4.1(C40:C2)320,61
C4.2(C40⋊C2) = D40⋊7C4φ: C40⋊C2/C40 → C2 ⊆ Aut C4160C4.2(C40:C2)320,67
C4.3(C40⋊C2) = C40⋊9Q8φ: C40⋊C2/C40 → C2 ⊆ Aut C4320C4.3(C40:C2)320,307
C4.4(C40⋊C2) = C20.14Q16φ: C40⋊C2/C40 → C2 ⊆ Aut C4320C4.4(C40:C2)320,308
C4.5(C40⋊C2) = C4.5D40φ: C40⋊C2/C40 → C2 ⊆ Aut C4160C4.5(C40:C2)320,321
C4.6(C40⋊C2) = C4.D40φ: C40⋊C2/Dic10 → C2 ⊆ Aut C4160C4.6(C40:C2)320,43
C4.7(C40⋊C2) = C20.2D8φ: C40⋊C2/Dic10 → C2 ⊆ Aut C4320C4.7(C40:C2)320,44
C4.8(C40⋊C2) = Dic10⋊4Q8φ: C40⋊C2/Dic10 → C2 ⊆ Aut C4320C4.8(C40:C2)320,478
C4.9(C40⋊C2) = C4.Dic20φ: C40⋊C2/D20 → C2 ⊆ Aut C4320C4.9(C40:C2)320,39
C4.10(C40⋊C2) = C20.47D8φ: C40⋊C2/D20 → C2 ⊆ Aut C4320C4.10(C40:C2)320,40
C4.11(C40⋊C2) = C40.Q8φ: C40⋊C2/D20 → C2 ⊆ Aut C4804C4.11(C40:C2)320,71
C4.12(C40⋊C2) = D40⋊8C4φ: C40⋊C2/D20 → C2 ⊆ Aut C4804C4.12(C40:C2)320,76
C4.13(C40⋊C2) = D20⋊3Q8φ: C40⋊C2/D20 → C2 ⊆ Aut C4160C4.13(C40:C2)320,469
C4.14(C40⋊C2) = Dic10⋊3C8central extension (φ=1)320C4.14(C40:C2)320,14
C4.15(C40⋊C2) = C40⋊6C8central extension (φ=1)320C4.15(C40:C2)320,15
C4.16(C40⋊C2) = D20⋊3C8central extension (φ=1)160C4.16(C40:C2)320,17

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