Extensions 1→N→G→Q→1 with N=C₂×C₃³⋊C₂ and Q=C₂

Direct product G=N×Q with N=C₂×C₃³⋊C₂ and Q=C₂

		d	ρ	Label	ID
C₂²×C₃³⋊C₂		108		C2^2xC3^3:C2	216,176

Semidirect products G=N:Q with N=C₂×C₃³⋊C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃³⋊C₂)⋊₁C₂ = C₃³⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃³⋊C₂	36		(C2xC3^3:C2):1C2	216,128
(C₂×C₃³⋊C₂)⋊₂C₂ = C₃³⋊₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃³⋊C₂	36		(C2xC3^3:C2):2C2	216,129
(C₂×C₃³⋊C₂)⋊₃C₂ = C₃³⋊₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃³⋊C₂	108		(C2xC3^3:C2):3C2	216,147
(C₂×C₃³⋊C₂)⋊₄C₂ = C₃³⋊₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃³⋊C₂	108		(C2xC3^3:C2):4C2	216,149
(C₂×C₃³⋊C₂)⋊₅C₂ = C₂×S₃×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃³⋊C₂	36		(C2xC3^3:C2):5C2	216,171

Non-split extensions G=N.Q with N=C₂×C₃³⋊C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃³⋊C₂).C₂ = C₃³⋊₈(C₂×C₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃³⋊C₂	36		(C2xC3^3:C2).C2	216,126
(C₂×C₃³⋊C₂).₂C₂ = C₄×C₃³⋊C₂	φ: trivial image	108		(C2xC3^3:C2).2C2	216,146

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