Extensions 1→N→G→Q→1 with N=C₈ and Q=C₃×Dic₅

Direct product G=N×Q with N=C₈ and Q=C₃×Dic₅

		d	ρ	Label	ID
Dic₅×C₂₄		480		Dic5xC24	480,91

Semidirect products G=N:Q with N=C₈ and Q=C₃×Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁(C₃×Dic₅) = C₃×C₄₀⋊₅C₄	φ: C₃×Dic₅/C₃₀ → C₂ ⊆ Aut C₈	480		C8:1(C3xDic5)	480,96
C₈⋊₂(C₃×Dic₅) = C₃×C₄₀⋊₆C₄	φ: C₃×Dic₅/C₃₀ → C₂ ⊆ Aut C₈	480		C8:2(C3xDic5)	480,95
C₈⋊₃(C₃×Dic₅) = C₃×C₄₀⋊₈C₄	φ: C₃×Dic₅/C₃₀ → C₂ ⊆ Aut C₈	480		C8:3(C3xDic5)	480,93

Non-split extensions G=N.Q with N=C₈ and Q=C₃×Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁(C₃×Dic₅) = C₃×C₄₀.₆C₄	φ: C₃×Dic₅/C₃₀ → C₂ ⊆ Aut C₈	240	2	C8.1(C3xDic5)	480,97
C₈.₂(C₃×Dic₅) = C₃×C₂₀.₄C₈	φ: C₃×Dic₅/C₃₀ → C₂ ⊆ Aut C₈	240	2	C8.2(C3xDic5)	480,90
C₈.₃(C₃×Dic₅) = C₃×C₅⋊₂C₃₂	central extension (φ=1)	480	2	C8.3(C3xDic5)	480,2
C₈.₄(C₃×Dic₅) = C₆×C₅⋊₂C₁₆	central extension (φ=1)	480		C8.4(C3xDic5)	480,89

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