Extensions 1→N→G→Q→1 with N=C₁₂ and Q=D₁₁

Direct product G=N×Q with N=C₁₂ and Q=D₁₁

		d	ρ	Label	ID
C₁₂×D₁₁		132	2	C12xD11	264,14

Semidirect products G=N:Q with N=C₁₂ and Q=D₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁D₁₁ = D₁₃₂	φ: D₁₁/C₁₁ → C₂ ⊆ Aut C₁₂	132	2+	C12:1D11	264,25
C₁₂⋊₂D₁₁ = C₄×D₃₃	φ: D₁₁/C₁₁ → C₂ ⊆ Aut C₁₂	132	2	C12:2D11	264,24
C₁₂⋊₃D₁₁ = C₃×D₄₄	φ: D₁₁/C₁₁ → C₂ ⊆ Aut C₁₂	132	2	C12:3D11	264,15

Non-split extensions G=N.Q with N=C₁₂ and Q=D₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁D₁₁ = Dic₆₆	φ: D₁₁/C₁₁ → C₂ ⊆ Aut C₁₂	264	2-	C12.1D11	264,23
C₁₂.₂D₁₁ = C₃₃⋊C₈	φ: D₁₁/C₁₁ → C₂ ⊆ Aut C₁₂	264	2	C12.2D11	264,3
C₁₂.₃D₁₁ = C₃×Dic₂₂	φ: D₁₁/C₁₁ → C₂ ⊆ Aut C₁₂	264	2	C12.3D11	264,13
C₁₂.₄D₁₁ = C₃×C₁₁⋊C₈	central extension (φ=1)	264	2	C12.4D11	264,2

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