# Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C3×C12

Direct product G=N×Q with N=C2×C4 and Q=C3×C12
dρLabelID
C2×C122288C2xC12^2288,811

Semidirect products G=N:Q with N=C2×C4 and Q=C3×C12
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊(C3×C12) = C32×C23⋊C4φ: C3×C12/C32C4 ⊆ Aut C2×C472(C2xC4):(C3xC12)288,317
(C2×C4)⋊2(C3×C12) = C32×C2.C42φ: C3×C12/C3×C6C2 ⊆ Aut C2×C4288(C2xC4):2(C3xC12)288,313
(C2×C4)⋊3(C3×C12) = C4⋊C4×C3×C6φ: C3×C12/C3×C6C2 ⊆ Aut C2×C4288(C2xC4):3(C3xC12)288,813
(C2×C4)⋊4(C3×C12) = C32×C42⋊C2φ: C3×C12/C3×C6C2 ⊆ Aut C2×C4144(C2xC4):4(C3xC12)288,814

Non-split extensions G=N.Q with N=C2×C4 and Q=C3×C12
extensionφ:Q→Aut NdρLabelID
(C2×C4).(C3×C12) = C32×C4.10D4φ: C3×C12/C32C4 ⊆ Aut C2×C4144(C2xC4).(C3xC12)288,319
(C2×C4).2(C3×C12) = C32×C8⋊C4φ: C3×C12/C3×C6C2 ⊆ Aut C2×C4288(C2xC4).2(C3xC12)288,315
(C2×C4).3(C3×C12) = C32×C22⋊C8φ: C3×C12/C3×C6C2 ⊆ Aut C2×C4144(C2xC4).3(C3xC12)288,316
(C2×C4).4(C3×C12) = C32×C4⋊C8φ: C3×C12/C3×C6C2 ⊆ Aut C2×C4288(C2xC4).4(C3xC12)288,323
(C2×C4).5(C3×C12) = C32×M5(2)φ: C3×C12/C3×C6C2 ⊆ Aut C2×C4144(C2xC4).5(C3xC12)288,328
(C2×C4).6(C3×C12) = M4(2)×C3×C6φ: C3×C12/C3×C6C2 ⊆ Aut C2×C4144(C2xC4).6(C3xC12)288,827

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