Extensions 1→N→G→Q→1 with N=C₂×C₃⋊S₃ and Q=D₅

Direct product G=N×Q with N=C₂×C₃⋊S₃ and Q=D₅

		d	ρ	Label	ID
C₂×D₅×C₃⋊S₃		90		C2xD5xC3:S3	360,152

Semidirect products G=N:Q with N=C₂×C₃⋊S₃ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃⋊S₃)⋊₁D₅ = C₃₀.₁₂D₆	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊S₃	180		(C2xC3:S3):1D5	360,68
(C₂×C₃⋊S₃)⋊₂D₅ = C₁₅⋊D₁₂	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊S₃	180		(C2xC3:S3):2D5	360,70
(C₂×C₃⋊S₃)⋊₃D₅ = D₃₀⋊S₃	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊S₃	60	4	(C2xC3:S3):3D5	360,86
(C₂×C₃⋊S₃)⋊₄D₅ = C₂×D₁₅⋊S₃	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊S₃	60	4	(C2xC3:S3):4D5	360,155

Non-split extensions G=N.Q with N=C₂×C₃⋊S₃ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃⋊S₃).₁D₅ = Dic₁₅⋊S₃	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊S₃	60	4	(C2xC3:S3).1D5	360,85
(C₂×C₃⋊S₃).₂D₅ = C₂×C₃²⋊Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊S₃	60	4	(C2xC3:S3).2D5	360,149
(C₂×C₃⋊S₃).₃D₅ = C₃⋊S₃×Dic₅	φ: trivial image	180		(C2xC3:S3).3D5	360,66

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