Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₂

Direct product G=N×Q with N=C₁₂ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₂		24		C2xC12	24,9

Semidirect products G=N:Q with N=C₁₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁C₂ = D₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂	12	2+	C12:1C2	24,6
C₁₂⋊₂C₂ = C₄×S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂	12	2	C12:2C2	24,5
C₁₂⋊₃C₂ = C₃×D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂	12	2	C12:3C2	24,10

Non-split extensions G=N.Q with N=C₁₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁C₂ = Dic₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂	24	2-	C12.1C2	24,4
C₁₂.₂C₂ = C₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂	24	2	C12.2C2	24,1
C₁₂.₃C₂ = C₃×Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂	24	2	C12.3C2	24,11

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Extensions 1→N→G→Q→1 with N=C12 and Q=C2