Extensions 1→N→G→Q→1 with N=C₂×C₈ and Q=C₅×S₃

Direct product G=N×Q with N=C₂×C₈ and Q=C₅×S₃

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

Semidirect products G=N:Q with N=C₂×C₈ and Q=C₅×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈)⋊₁(C₅×S₃) = C₅×D₆⋊C₈	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₈	240		(C2xC8):1(C5xS3)	480,139
(C₂×C₈)⋊₂(C₅×S₃) = C₅×C₂.D₂₄	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₈	240		(C2xC8):2(C5xS3)	480,140
(C₂×C₈)⋊₃(C₅×S₃) = C₁₀×D₂₄	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₈	240		(C2xC8):3(C5xS3)	480,782
(C₂×C₈)⋊₄(C₅×S₃) = C₅×C₄○D₂₄	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₈	240	2	(C2xC8):4(C5xS3)	480,783
(C₂×C₈)⋊₅(C₅×S₃) = C₁₀×C₂₄⋊C₂	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₈	240		(C2xC8):5(C5xS3)	480,781
(C₂×C₈)⋊₆(C₅×S₃) = C₁₀×C₈⋊S₃	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₈	240		(C2xC8):6(C5xS3)	480,779
(C₂×C₈)⋊₇(C₅×S₃) = C₅×C₈○D₁₂	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₈	240	2	(C2xC8):7(C5xS3)	480,780

Non-split extensions G=N.Q with N=C₂×C₈ and Q=C₅×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈).₁(C₅×S₃) = C₅×Dic₃⋊C₈	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₈	480		(C2xC8).1(C5xS3)	480,133
(C₂×C₈).₂(C₅×S₃) = C₅×C₂.Dic₁₂	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₈	480		(C2xC8).2(C5xS3)	480,135
(C₂×C₈).₃(C₅×S₃) = C₅×C₂₄⋊₁C₄	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₈	480		(C2xC8).3(C5xS3)	480,137
(C₂×C₈).₄(C₅×S₃) = C₁₀×Dic₁₂	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₈	480		(C2xC8).4(C5xS3)	480,784
(C₂×C₈).₅(C₅×S₃) = C₅×C₂₄.C₄	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₈	240	2	(C2xC8).5(C5xS3)	480,138
(C₂×C₈).₆(C₅×S₃) = C₅×C₈⋊Dic₃	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₈	480		(C2xC8).6(C5xS3)	480,136
(C₂×C₈).₇(C₅×S₃) = C₅×C₁₂.C₈	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₈	240	2	(C2xC8).7(C5xS3)	480,131
(C₂×C₈).₈(C₅×S₃) = C₅×C₂₄⋊C₄	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₈	480		(C2xC8).8(C5xS3)	480,134
(C₂×C₈).₉(C₅×S₃) = C₁₀×C₃⋊C₁₆	central extension (φ=1)	480		(C2xC8).9(C5xS3)	480,130
(C₂×C₈).₁₀(C₅×S₃) = Dic₃×C₄₀	central extension (φ=1)	480		(C2xC8).10(C5xS3)	480,132

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