Extensions 1→N→G→Q→1 with N=C₄ and Q=Dic₁₅

Direct product G=N×Q with N=C₄ and Q=Dic₁₅

		d	ρ	Label	ID
C₄×Dic₁₅		240		C4xDic15	240,72

Semidirect products G=N:Q with N=C₄ and Q=Dic₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊Dic₁₅ = C₆₀⋊₅C₄	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₄	240		C4:Dic15	240,74

Non-split extensions G=N.Q with N=C₄ and Q=Dic₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.Dic₁₅ = C₆₀.₇C₄	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₄	120	2	C4.Dic15	240,71
C₄.₂Dic₁₅ = C₁₅⋊₃C₁₆	central extension (φ=1)	240	2	C4.2Dic15	240,3
C₄.₃Dic₁₅ = C₂×C₁₅⋊₃C₈	central extension (φ=1)	240		C4.3Dic15	240,70

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Extensions 1→N→G→Q→1 with N=C4 and Q=Dic15