Extensions 1→N→G→Q→1 with N=C₂×C₃⋊S₃ and Q=C₁₀

Direct product G=N×Q with N=C₂×C₃⋊S₃ and Q=C₁₀

		d	ρ	Label	ID
C₃⋊S₃×C₂×C₁₀		180		C3:S3xC2xC10	360,160

Semidirect products G=N:Q with N=C₂×C₃⋊S₃ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃⋊S₃)⋊₁C₁₀ = C₅×C₃⋊D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊S₃	60	4	(C2xC3:S3):1C10	360,75
(C₂×C₃⋊S₃)⋊₂C₁₀ = C₅×C₁₂⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊S₃	180		(C2xC3:S3):2C10	360,107
(C₂×C₃⋊S₃)⋊₃C₁₀ = C₅×C₃²⋊₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊S₃	180		(C2xC3:S3):3C10	360,109
(C₂×C₃⋊S₃)⋊₄C₁₀ = S₃²×C₁₀	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊S₃	60	4	(C2xC3:S3):4C10	360,153

Non-split extensions G=N.Q with N=C₂×C₃⋊S₃ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃⋊S₃).₁C₁₀ = C₅×C₆.D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊S₃	60	4	(C2xC3:S3).1C10	360,73
(C₂×C₃⋊S₃).₂C₁₀ = C₁₀×C₃²⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊S₃	60	4	(C2xC3:S3).2C10	360,148
(C₂×C₃⋊S₃).₃C₁₀ = C₃⋊S₃×C₂₀	φ: trivial image	180		(C2xC3:S3).3C10	360,106

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