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Extensions 1→N→G→Q→1 with N=C6 and Q=C40⋊C2

Direct product G=N×Q with N=C6 and Q=C40⋊C2
dρLabelID
C6×C40⋊C2240C6xC40:C2480,695

Semidirect products G=N:Q with N=C6 and Q=C40⋊C2
extensionφ:Q→Aut NdρLabelID
C6⋊1(C40⋊C2) = C2×C24⋊D5φ: C40⋊C2/C40 → C2 ⊆ Aut C6240C6:1(C40:C2)480,867
C6⋊2(C40⋊C2) = C2×C15⋊SD16φ: C40⋊C2/Dic10 → C2 ⊆ Aut C6240C6:2(C40:C2)480,390
C6⋊3(C40⋊C2) = C2×C6.D20φ: C40⋊C2/D20 → C2 ⊆ Aut C6240C6:3(C40:C2)480,386

Non-split extensions G=N.Q with N=C6 and Q=C40⋊C2
extensionφ:Q→Aut NdρLabelID
C6.1(C40⋊C2) = Dic30⋊8C4φ: C40⋊C2/C40 → C2 ⊆ Aut C6480C6.1(C40:C2)480,176
C6.2(C40⋊C2) = C120⋊10C4φ: C40⋊C2/C40 → C2 ⊆ Aut C6480C6.2(C40:C2)480,177
C6.3(C40⋊C2) = D60⋊8C4φ: C40⋊C2/C40 → C2 ⊆ Aut C6240C6.3(C40:C2)480,181
C6.4(C40⋊C2) = D60⋊12C4φ: C40⋊C2/Dic10 → C2 ⊆ Aut C6240C6.4(C40:C2)480,44
C6.5(C40⋊C2) = C6.Dic20φ: C40⋊C2/Dic10 → C2 ⊆ Aut C6480C6.5(C40:C2)480,47
C6.6(C40⋊C2) = C6.D40φ: C40⋊C2/D20 → C2 ⊆ Aut C6240C6.6(C40:C2)480,41
C6.7(C40⋊C2) = Dic30⋊12C4φ: C40⋊C2/D20 → C2 ⊆ Aut C6480C6.7(C40:C2)480,50
C6.8(C40⋊C2) = C60.Q8φ: C40⋊C2/D20 → C2 ⊆ Aut C6480C6.8(C40:C2)480,63
C6.9(C40⋊C2) = C3×C20.44D4central extension (φ=1)480C6.9(C40:C2)480,94
C6.10(C40⋊C2) = C3×C40⋊6C4central extension (φ=1)480C6.10(C40:C2)480,95
C6.11(C40⋊C2) = C3×D20⋊5C4central extension (φ=1)240C6.11(C40:C2)480,99

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