Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=D₁₁

Direct product G=N×Q with N=C₂×C₆ and Q=D₁₁

		d	ρ	Label	ID
C₂×C₆×D₁₁		132		C2xC6xD11	264,36

Semidirect products G=N:Q with N=C₂×C₆ and Q=D₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊₁D₁₁ = C₃×C₁₁⋊D₄	φ: D₁₁/C₁₁ → C₂ ⊆ Aut C₂×C₆	132	2	(C2xC6):1D11	264,17
(C₂×C₆)⋊₂D₁₁ = C₃₃⋊₇D₄	φ: D₁₁/C₁₁ → C₂ ⊆ Aut C₂×C₆	132	2	(C2xC6):2D11	264,27
(C₂×C₆)⋊₃D₁₁ = C₂²×D₃₃	φ: D₁₁/C₁₁ → C₂ ⊆ Aut C₂×C₆	132		(C2xC6):3D11	264,38

Non-split extensions G=N.Q with N=C₂×C₆ and Q=D₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).D₁₁ = C₂×Dic₃₃	φ: D₁₁/C₁₁ → C₂ ⊆ Aut C₂×C₆	264		(C2xC6).D11	264,26
(C₂×C₆).₂D₁₁ = C₆×Dic₁₁	central extension (φ=1)	264		(C2xC6).2D11	264,16

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Extensions 1→N→G→Q→1 with N=C2×C6 and Q=D11