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Extensions 1→N→G→Q→1 with N=C46 and Q=C2×C4

Direct product G=N×Q with N=C46 and Q=C2×C4
dρLabelID
C22×C92368C2^2xC92368,37

Semidirect products G=N:Q with N=C46 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C46⋊1(C2×C4) = C2×C4×D23φ: C2×C4/C4 → C2 ⊆ Aut C46184C46:1(C2xC4)368,28
C46⋊2(C2×C4) = C22×Dic23φ: C2×C4/C22 → C2 ⊆ Aut C46368C46:2(C2xC4)368,35

Non-split extensions G=N.Q with N=C46 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C46.1(C2×C4) = C8×D23φ: C2×C4/C4 → C2 ⊆ Aut C461842C46.1(C2xC4)368,3
C46.2(C2×C4) = C8⋊D23φ: C2×C4/C4 → C2 ⊆ Aut C461842C46.2(C2xC4)368,4
C46.3(C2×C4) = C4×Dic23φ: C2×C4/C4 → C2 ⊆ Aut C46368C46.3(C2xC4)368,10
C46.4(C2×C4) = Dic23⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C46368C46.4(C2xC4)368,11
C46.5(C2×C4) = D46⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C46184C46.5(C2xC4)368,13
C46.6(C2×C4) = C2×C23⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C46368C46.6(C2xC4)368,8
C46.7(C2×C4) = C92.C4φ: C2×C4/C22 → C2 ⊆ Aut C461842C46.7(C2xC4)368,9
C46.8(C2×C4) = C92⋊C4φ: C2×C4/C22 → C2 ⊆ Aut C46368C46.8(C2xC4)368,12
C46.9(C2×C4) = C23.D23φ: C2×C4/C22 → C2 ⊆ Aut C46184C46.9(C2xC4)368,18
C46.10(C2×C4) = C22⋊C4×C23central extension (φ=1)184C46.10(C2xC4)368,20
C46.11(C2×C4) = C4⋊C4×C23central extension (φ=1)368C46.11(C2xC4)368,21
C46.12(C2×C4) = M4(2)×C23central extension (φ=1)1842C46.12(C2xC4)368,23

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