Extensions 1→N→G→Q→1 with N=S₃×C₁₀ and Q=C₈

Direct product G=N×Q with N=S₃×C₁₀ and Q=C₈

		d	ρ	Label	ID
S₃×C₂×C₄₀		240		S3xC2xC40	480,778

Semidirect products G=N:Q with N=S₃×C₁₀ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₁₀)⋊₁C₈ = Dic₅.₂₂D₁₂	φ: C₈/C₂ → C₄ ⊆ Out S₃×C₁₀	240		(S3xC10):1C8	480,246
(S₃×C₁₀)⋊₂C₈ = C₂×S₃×C₅⋊C₈	φ: C₈/C₂ → C₄ ⊆ Out S₃×C₁₀	240		(S3xC10):2C8	480,1002
(S₃×C₁₀)⋊₃C₈ = C₆₀.₉₄D₄	φ: C₈/C₄ → C₂ ⊆ Out S₃×C₁₀	240		(S3xC10):3C8	480,32
(S₃×C₁₀)⋊₄C₈ = C₂×S₃×C₅⋊₂C₈	φ: C₈/C₄ → C₂ ⊆ Out S₃×C₁₀	240		(S3xC10):4C8	480,361
(S₃×C₁₀)⋊₅C₈ = C₅×D₆⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out S₃×C₁₀	240		(S3xC10):5C8	480,139

Non-split extensions G=N.Q with N=S₃×C₁₀ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₁₀).₁C₈ = S₃×C₅⋊C₁₆	φ: C₈/C₂ → C₄ ⊆ Out S₃×C₁₀	240	8	(S3xC10).1C8	480,239
(S₃×C₁₀).₂C₈ = C₁₅⋊M₅(2)	φ: C₈/C₂ → C₄ ⊆ Out S₃×C₁₀	240	8	(S3xC10).2C8	480,241
(S₃×C₁₀).₃C₈ = S₃×C₅⋊₂C₁₆	φ: C₈/C₄ → C₂ ⊆ Out S₃×C₁₀	240	4	(S3xC10).3C8	480,8
(S₃×C₁₀).₄C₈ = C₄₀.₅₂D₆	φ: C₈/C₄ → C₂ ⊆ Out S₃×C₁₀	240	4	(S3xC10).4C8	480,11
(S₃×C₁₀).₅C₈ = C₅×D₆.C₈	φ: C₈/C₄ → C₂ ⊆ Out S₃×C₁₀	240	2	(S3xC10).5C8	480,117
(S₃×C₁₀).₆C₈ = S₃×C₈₀	φ: trivial image	240	2	(S3xC10).6C8	480,116

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