Extensions 1→N→G→Q→1 with N=C₈ and Q=C₅×Dic₃

Direct product G=N×Q with N=C₈ and Q=C₅×Dic₃

		d	ρ	Label	ID
Dic₃×C₄₀		480		Dic3xC40	480,132

Semidirect products G=N:Q with N=C₈ and Q=C₅×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁(C₅×Dic₃) = C₅×C₂₄⋊₁C₄	φ: C₅×Dic₃/C₃₀ → C₂ ⊆ Aut C₈	480		C8:1(C5xDic3)	480,137
C₈⋊₂(C₅×Dic₃) = C₅×C₈⋊Dic₃	φ: C₅×Dic₃/C₃₀ → C₂ ⊆ Aut C₈	480		C8:2(C5xDic3)	480,136
C₈⋊₃(C₅×Dic₃) = C₅×C₂₄⋊C₄	φ: C₅×Dic₃/C₃₀ → C₂ ⊆ Aut C₈	480		C8:3(C5xDic3)	480,134

Non-split extensions G=N.Q with N=C₈ and Q=C₅×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁(C₅×Dic₃) = C₅×C₂₄.C₄	φ: C₅×Dic₃/C₃₀ → C₂ ⊆ Aut C₈	240	2	C8.1(C5xDic3)	480,138
C₈.₂(C₅×Dic₃) = C₅×C₁₂.C₈	φ: C₅×Dic₃/C₃₀ → C₂ ⊆ Aut C₈	240	2	C8.2(C5xDic3)	480,131
C₈.₃(C₅×Dic₃) = C₅×C₃⋊C₃₂	central extension (φ=1)	480	2	C8.3(C5xDic3)	480,1
C₈.₄(C₅×Dic₃) = C₁₀×C₃⋊C₁₆	central extension (φ=1)	480		C8.4(C5xDic3)	480,130

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