Extensions 1→N→G→Q→1 with N=C₂³ and Q=Dic₁₅

Direct product G=N×Q with N=C₂³ and Q=Dic₁₅

		d	ρ	Label	ID
C₂³×Dic₁₅		480		C2^3xDic15	480,1178

Semidirect products G=N:Q with N=C₂³ and Q=Dic₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊Dic₁₅ = C₂×A₄⋊Dic₅	φ: Dic₁₅/C₁₀ → S₃ ⊆ Aut C₂³	120		C2^3:Dic15	480,1033
C₂³⋊₂Dic₁₅ = C₂³.₇D₃₀	φ: Dic₁₅/C₁₅ → C₄ ⊆ Aut C₂³	120	4	C2^3:2Dic15	480,194
C₂³⋊₃Dic₁₅ = C₂×C₃₀.₃₈D₄	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₂³	240		C2^3:3Dic15	480,917

Non-split extensions G=N.Q with N=C₂³ and Q=Dic₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.Dic₁₅ = C₂₀.S₄	φ: Dic₁₅/C₁₀ → S₃ ⊆ Aut C₂³	120	6	C2^3.Dic15	480,259
C₂³.₂Dic₁₅ = C₆₀.₈D₄	φ: Dic₁₅/C₁₅ → C₄ ⊆ Aut C₂³	120	4	C2^3.2Dic15	480,193
C₂³.₃Dic₁₅ = C₆₀.₂₁₂D₄	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₂³	240		C2^3.3Dic15	480,190
C₂³.₄Dic₁₅ = C₂×C₆₀.₇C₄	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₂³	240		C2^3.4Dic15	480,886
C₂³.₅Dic₁₅ = C₂²×C₁₅⋊₃C₈	central extension (φ=1)	480		C2^3.5Dic15	480,885

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