Extensions 1→N→G→Q→1 with N=C₂×C₈ and Q=C₃×D₅

Direct product G=N×Q with N=C₂×C₈ and Q=C₃×D₅

		d	ρ	Label	ID
D₅×C₂×C₂₄		240		D5xC2xC24	480,692

Semidirect products G=N:Q with N=C₂×C₈ and Q=C₃×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈)⋊₁(C₃×D₅) = C₃×D₁₀⋊₁C₈	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₂×C₈	240		(C2xC8):1(C3xD5)	480,98
(C₂×C₈)⋊₂(C₃×D₅) = C₃×D₂₀⋊₅C₄	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₂×C₈	240		(C2xC8):2(C3xD5)	480,99
(C₂×C₈)⋊₃(C₃×D₅) = C₆×D₄₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₂×C₈	240		(C2xC8):3(C3xD5)	480,696
(C₂×C₈)⋊₄(C₃×D₅) = C₃×D₄₀⋊₇C₂	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₂×C₈	240	2	(C2xC8):4(C3xD5)	480,697
(C₂×C₈)⋊₅(C₃×D₅) = C₆×C₄₀⋊C₂	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₂×C₈	240		(C2xC8):5(C3xD5)	480,695
(C₂×C₈)⋊₆(C₃×D₅) = C₆×C₈⋊D₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₂×C₈	240		(C2xC8):6(C3xD5)	480,693
(C₂×C₈)⋊₇(C₃×D₅) = C₃×D₂₀.₃C₄	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₂×C₈	240	2	(C2xC8):7(C3xD5)	480,694

Non-split extensions G=N.Q with N=C₂×C₈ and Q=C₃×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈).₁(C₃×D₅) = C₃×C₂₀.₈Q₈	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₂×C₈	480		(C2xC8).1(C3xD5)	480,92
(C₂×C₈).₂(C₃×D₅) = C₃×C₂₀.₄₄D₄	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₂×C₈	480		(C2xC8).2(C3xD5)	480,94
(C₂×C₈).₃(C₃×D₅) = C₃×C₄₀⋊₅C₄	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₂×C₈	480		(C2xC8).3(C3xD5)	480,96
(C₂×C₈).₄(C₃×D₅) = C₆×Dic₂₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₂×C₈	480		(C2xC8).4(C3xD5)	480,698
(C₂×C₈).₅(C₃×D₅) = C₃×C₄₀.₆C₄	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₂×C₈	240	2	(C2xC8).5(C3xD5)	480,97
(C₂×C₈).₆(C₃×D₅) = C₃×C₄₀⋊₆C₄	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₂×C₈	480		(C2xC8).6(C3xD5)	480,95
(C₂×C₈).₇(C₃×D₅) = C₃×C₂₀.₄C₈	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₂×C₈	240	2	(C2xC8).7(C3xD5)	480,90
(C₂×C₈).₈(C₃×D₅) = C₃×C₄₀⋊₈C₄	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₂×C₈	480		(C2xC8).8(C3xD5)	480,93
(C₂×C₈).₉(C₃×D₅) = C₆×C₅⋊₂C₁₆	central extension (φ=1)	480		(C2xC8).9(C3xD5)	480,89
(C₂×C₈).₁₀(C₃×D₅) = Dic₅×C₂₄	central extension (φ=1)	480		(C2xC8).10(C3xD5)	480,91

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