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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀×C₃⋊S₃)⋊₁C₂ = C₃₀.₁₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₃⋊S₃	180		(C10xC3:S3):1C2	360,68
(C₁₀×C₃⋊S₃)⋊₂C₂ = C₁₅⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₃⋊S₃	180		(C10xC3:S3):2C2	360,70
(C₁₀×C₃⋊S₃)⋊₃C₂ = D₃₀⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₃⋊S₃	60	4	(C10xC3:S3):3C2	360,86
(C₁₀×C₃⋊S₃)⋊₄C₂ = C₂×D₅×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₃⋊S₃	90		(C10xC3:S3):4C2	360,152
(C₁₀×C₃⋊S₃)⋊₅C₂ = C₂×D₁₅⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₃⋊S₃	60	4	(C10xC3:S3):5C2	360,155
(C₁₀×C₃⋊S₃)⋊₆C₂ = C₅×C₃⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₃⋊S₃	60	4	(C10xC3:S3):6C2	360,75
(C₁₀×C₃⋊S₃)⋊₇C₂ = C₅×C₁₂⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₃⋊S₃	180		(C10xC3:S3):7C2	360,107
(C₁₀×C₃⋊S₃)⋊₈C₂ = C₅×C₃²⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₃⋊S₃	180		(C10xC3:S3):8C2	360,109
(C₁₀×C₃⋊S₃)⋊₉C₂ = S₃²×C₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₃⋊S₃	60	4	(C10xC3:S3):9C2	360,153

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀×C₃⋊S₃).₁C₂ = C₃⋊S₃×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₃⋊S₃	180		(C10xC3:S3).1C2	360,66
(C₁₀×C₃⋊S₃).₂C₂ = Dic₁₅⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₃⋊S₃	60	4	(C10xC3:S3).2C2	360,85
(C₁₀×C₃⋊S₃).₃C₂ = C₅×C₆.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₃⋊S₃	60	4	(C10xC3:S3).3C2	360,73
(C₁₀×C₃⋊S₃).₄C₂ = C₁₀×C₃²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₃⋊S₃	60	4	(C10xC3:S3).4C2	360,148
(C₁₀×C₃⋊S₃).₅C₂ = C₂×C₃²⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₃⋊S₃	60	4	(C10xC3:S3).5C2	360,149
(C₁₀×C₃⋊S₃).₆C₂ = C₃⋊S₃×C₂₀	φ: trivial image	180		(C10xC3:S3).6C2	360,106

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