Extensions 1→N→G→Q→1 with N=C₂×C₃²⋊C₆ and Q=C₂

Direct product G=N×Q with N=C₂×C₃²⋊C₆ and Q=C₂

		d	ρ	Label	ID
C₂²×C₃²⋊C₆		36		C2^2xC3^2:C6	216,110

Semidirect products G=N:Q with N=C₂×C₃²⋊C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃²⋊C₆)⋊₁C₂ = He₃⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃²⋊C₆	36	6+	(C2xC3^2:C6):1C2	216,35
(C₂×C₃²⋊C₆)⋊₂C₂ = He₃⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃²⋊C₆	36	6	(C2xC3^2:C6):2C2	216,37
(C₂×C₃²⋊C₆)⋊₃C₂ = He₃⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃²⋊C₆	36	6+	(C2xC3^2:C6):3C2	216,51
(C₂×C₃²⋊C₆)⋊₄C₂ = He₃⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃²⋊C₆	36	6	(C2xC3^2:C6):4C2	216,60
(C₂×C₃²⋊C₆)⋊₅C₂ = C₂×C₃²⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃²⋊C₆	18	6+	(C2xC3^2:C6):5C2	216,102

Non-split extensions G=N.Q with N=C₂×C₃²⋊C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃²⋊C₆).C₂ = C₆.S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃²⋊C₆	36	6	(C2xC3^2:C6).C2	216,34
(C₂×C₃²⋊C₆).₂C₂ = C₄×C₃²⋊C₆	φ: trivial image	36	6	(C2xC3^2:C6).2C2	216,50

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