Extensions 1→N→G→Q→1 with N=C₂³ and Q=Dic₅

Direct product G=N×Q with N=C₂³ and Q=Dic₅

		d	ρ	Label	ID
C₂³×Dic₅		160		C2^3xDic5	160,226

Semidirect products G=N:Q with N=C₂³ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊Dic₅ = C₂³⋊Dic₅	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂³	40	4	C2^3:Dic5	160,41
C₂³⋊₂Dic₅ = C₂×C₂³.D₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂³	80		C2^3:2Dic5	160,173

Non-split extensions G=N.Q with N=C₂³ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.Dic₅ = C₂₀.D₄	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂³	40	4	C2^3.Dic5	160,40
C₂³.₂Dic₅ = C₂₀.₅₅D₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂³	80		C2^3.2Dic5	160,37
C₂³.₃Dic₅ = C₂×C₄.Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂³	80		C2^3.3Dic5	160,142
C₂³.₄Dic₅ = C₂²×C₅⋊₂C₈	central extension (φ=1)	160		C2^3.4Dic5	160,141

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