Extensions 1→N→G→Q→1 with N=S₃×C₃₀ and Q=C₂

Direct product G=N×Q with N=S₃×C₃₀ and Q=C₂

		d	ρ	Label	ID
S₃×C₂×C₃₀		120		S3xC2xC30	360,158

Semidirect products G=N:Q with N=S₃×C₃₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₃₀)⋊₁C₂ = C₃×C₁₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₀	60	4	(S3xC30):1C2	360,61
(S₃×C₃₀)⋊₂C₂ = C₃×C₅⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₀	120	4	(S3xC30):2C2	360,63
(S₃×C₃₀)⋊₃C₂ = D₆⋊D₁₅	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₀	120	4-	(S3xC30):3C2	360,80
(S₃×C₃₀)⋊₄C₂ = D₆⋊₂D₁₅	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₀	60	4+	(S3xC30):4C2	360,82
(S₃×C₃₀)⋊₅C₂ = S₃×C₆×D₅	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₀	60	4	(S3xC30):5C2	360,151
(S₃×C₃₀)⋊₆C₂ = C₂×S₃×D₁₅	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₀	60	4+	(S3xC30):6C2	360,154
(S₃×C₃₀)⋊₇C₂ = C₅×D₆⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₀	120	4	(S3xC30):7C2	360,74
(S₃×C₃₀)⋊₈C₂ = C₅×C₃⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₀	60	4	(S3xC30):8C2	360,75
(S₃×C₃₀)⋊₉C₂ = C₁₅×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₀	120	2	(S3xC30):9C2	360,97
(S₃×C₃₀)⋊₁₀C₂ = C₁₅×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₀	60	2	(S3xC30):10C2	360,99
(S₃×C₃₀)⋊₁₁C₂ = S₃²×C₁₀	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₀	60	4	(S3xC30):11C2	360,153

Non-split extensions G=N.Q with N=S₃×C₃₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₃₀).₁C₂ = C₃×S₃×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₀	120	4	(S3xC30).1C2	360,59
(S₃×C₃₀).₂C₂ = S₃×Dic₁₅	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₀	120	4-	(S3xC30).2C2	360,78
(S₃×C₃₀).₃C₂ = C₅×S₃×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₀	120	4	(S3xC30).3C2	360,72
(S₃×C₃₀).₄C₂ = S₃×C₆₀	φ: trivial image	120	2	(S3xC30).4C2	360,96

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