Extensions 1→N→G→Q→1 with N=C₈ and Q=Dic₁₅

Direct product G=N×Q with N=C₈ and Q=Dic₁₅

		d	ρ	Label	ID
C₈×Dic₁₅		480		C8xDic15	480,173

Semidirect products G=N:Q with N=C₈ and Q=Dic₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁Dic₁₅ = C₁₂₀⋊₉C₄	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₈	480		C8:1Dic15	480,178
C₈⋊₂Dic₁₅ = C₁₂₀⋊₁₀C₄	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₈	480		C8:2Dic15	480,177
C₈⋊₃Dic₁₅ = C₁₂₀⋊₁₃C₄	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₈	480		C8:3Dic15	480,175

Non-split extensions G=N.Q with N=C₈ and Q=Dic₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁Dic₁₅ = C₄.₁₈D₆₀	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₈	240	2	C8.1Dic15	480,179
C₈.₂Dic₁₅ = C₆₀.₇C₈	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₈	240	2	C8.2Dic15	480,172
C₈.₃Dic₁₅ = C₁₅⋊₃C₃₂	central extension (φ=1)	480	2	C8.3Dic15	480,3
C₈.₄Dic₁₅ = C₂×C₁₅⋊₃C₁₆	central extension (φ=1)	480		C8.4Dic15	480,171

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