Extensions 1→N→G→Q→1 with N=C₅×C₃⋊S₃ and Q=C₄

Direct product G=N×Q with N=C₅×C₃⋊S₃ and Q=C₄

		d	ρ	Label	ID
C₃⋊S₃×C₂₀		180		C3:S3xC20	360,106

Semidirect products G=N:Q with N=C₅×C₃⋊S₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₃⋊S₃)⋊₁C₄ = C₃²⋊F₅⋊C₂	φ: C₄/C₁ → C₄ ⊆ Out C₅×C₃⋊S₃	30	8+	(C5xC3:S3):1C4	360,131
(C₅×C₃⋊S₃)⋊₂C₄ = C₃⋊S₃×F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅×C₃⋊S₃	45		(C5xC3:S3):2C4	360,127
(C₅×C₃⋊S₃)⋊₃C₄ = C₃⋊F₅⋊S₃	φ: C₄/C₁ → C₄ ⊆ Out C₅×C₃⋊S₃	30	8+	(C5xC3:S3):3C4	360,129
(C₅×C₃⋊S₃)⋊₄C₄ = C₃⋊S₃×Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₃⋊S₃	180		(C5xC3:S3):4C4	360,66
(C₅×C₃⋊S₃)⋊₅C₄ = Dic₁₅⋊S₃	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₃⋊S₃	60	4	(C5xC3:S3):5C4	360,85
(C₅×C₃⋊S₃)⋊₆C₄ = C₅×C₆.D₆	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₃⋊S₃	60	4	(C5xC3:S3):6C4	360,73
(C₅×C₃⋊S₃)⋊₇C₄ = C₁₀×C₃²⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₃⋊S₃	60	4	(C5xC3:S3):7C4	360,148
(C₅×C₃⋊S₃)⋊₈C₄ = C₂×C₃²⋊Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₃⋊S₃	60	4	(C5xC3:S3):8C4	360,149

Non-split extensions G=N.Q with N=C₅×C₃⋊S₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₃⋊S₃).₁C₄ = C₅×F₉	φ: C₄/C₁ → C₄ ⊆ Out C₅×C₃⋊S₃	45	8	(C5xC3:S3).1C4	360,123
(C₅×C₃⋊S₃).₂C₄ = C₅⋊₂F₉	φ: C₄/C₁ → C₄ ⊆ Out C₅×C₃⋊S₃	45	8	(C5xC3:S3).2C4	360,124
(C₅×C₃⋊S₃).₃C₄ = C₅⋊F₉	φ: C₄/C₁ → C₄ ⊆ Out C₅×C₃⋊S₃	45	8	(C5xC3:S3).3C4	360,125

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