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Extensions 1→N→G→Q→1 with N=C4 and Q=C4×C12

Direct product G=N×Q with N=C4 and Q=C4×C12
dρLabelID
C42×C12192C4^2xC12192,807

Semidirect products G=N:Q with N=C4 and Q=C4×C12
extensionφ:Q→Aut NdρLabelID
C4⋊(C4×C12) = C12×C4⋊C4φ: C4×C12/C2×C12 → C2 ⊆ Aut C4192C4:(C4xC12)192,811

Non-split extensions G=N.Q with N=C4 and Q=C4×C12
extensionφ:Q→Aut NdρLabelID
C4.1(C4×C12) = C3×C42⋊6C4φ: C4×C12/C2×C12 → C2 ⊆ Aut C448C4.1(C4xC12)192,145
C4.2(C4×C12) = C3×C22.4Q16φ: C4×C12/C2×C12 → C2 ⊆ Aut C4192C4.2(C4xC12)192,146
C4.3(C4×C12) = C3×C4.C42φ: C4×C12/C2×C12 → C2 ⊆ Aut C496C4.3(C4xC12)192,147
C4.4(C4×C12) = C12×M4(2)φ: C4×C12/C2×C12 → C2 ⊆ Aut C496C4.4(C4xC12)192,837
C4.5(C4×C12) = C3×C8○2M4(2)φ: C4×C12/C2×C12 → C2 ⊆ Aut C496C4.5(C4xC12)192,838
C4.6(C4×C12) = C3×C16⋊5C4central extension (φ=1)192C4.6(C4xC12)192,152
C4.7(C4×C12) = C3×C42⋊4C4central extension (φ=1)192C4.7(C4xC12)192,809
C4.8(C4×C12) = C6×C8⋊C4central extension (φ=1)192C4.8(C4xC12)192,836
C4.9(C4×C12) = C3×C4.9C42central stem extension (φ=1)484C4.9(C4xC12)192,143
C4.10(C4×C12) = C3×C4.10C42central stem extension (φ=1)484C4.10(C4xC12)192,144
C4.11(C4×C12) = C3×C16⋊C4central stem extension (φ=1)484C4.11(C4xC12)192,153

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