Extensions 1→N→G→Q→1 with N=C₂×C₃²⋊D₆ and Q=C₂

Direct product G=N×Q with N=C₂×C₃²⋊D₆ and Q=C₂

		d	ρ	Label	ID
C₂²×C₃²⋊D₆		36		C2^2xC3^2:D6	432,545

Semidirect products G=N:Q with N=C₂×C₃²⋊D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃²⋊D₆)⋊₁C₂ = C₃⋊S₃⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃²⋊D₆	36	12+	(C2xC3^2:D6):1C2	432,301
(C₂×C₃²⋊D₆)⋊₂C₂ = C₁₂.₈₆S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃²⋊D₆	36	6+	(C2xC3^2:D6):2C2	432,302
(C₂×C₃²⋊D₆)⋊₃C₂ = C₆²⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃²⋊D₆	36	12+	(C2xC3^2:D6):3C2	432,323
(C₂×C₃²⋊D₆)⋊₄C₂ = C₆²⋊₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃²⋊D₆	36	6	(C2xC3^2:D6):4C2	432,324
(C₂×C₃²⋊D₆)⋊₅C₂ = C₂×He₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃²⋊D₆	36	6+	(C2xC3^2:D6):5C2	432,530

Non-split extensions G=N.Q with N=C₂×C₃²⋊D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃²⋊D₆).C₂ = C₃²⋊D₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃²⋊D₆	36	6	(C2xC3^2:D6).C2	432,238
(C₂×C₃²⋊D₆).₂C₂ = C₄×C₃²⋊D₆	φ: trivial image	36	6	(C2xC3^2:D6).2C2	432,300

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