Extensions 1→N→G→Q→1 with N=C₂×C₃⋊S₃ and Q=C₂

Direct product G=N×Q with N=C₂×C₃⋊S₃ and Q=C₂

		d	ρ	Label	ID
C₂²×C₃⋊S₃		36		C2^2xC3:S3	72,49

Semidirect products G=N:Q with N=C₂×C₃⋊S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃⋊S₃)⋊₁C₂ = C₃⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊S₃	12	4+	(C2xC3:S3):1C2	72,23
(C₂×C₃⋊S₃)⋊₂C₂ = C₁₂⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊S₃	36		(C2xC3:S3):2C2	72,33
(C₂×C₃⋊S₃)⋊₃C₂ = C₃²⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊S₃	36		(C2xC3:S3):3C2	72,35
(C₂×C₃⋊S₃)⋊₄C₂ = C₂×S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊S₃	12	4+	(C2xC3:S3):4C2	72,46

Non-split extensions G=N.Q with N=C₂×C₃⋊S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃⋊S₃).₁C₂ = C₆.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊S₃	12	4+	(C2xC3:S3).1C2	72,21
(C₂×C₃⋊S₃).₂C₂ = C₂×C₃²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊S₃	12	4+	(C2xC3:S3).2C2	72,45
(C₂×C₃⋊S₃).₃C₂ = C₄×C₃⋊S₃	φ: trivial image	36		(C2xC3:S3).3C2	72,32

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