Extensions 1→N→G→Q→1 with N=C₄ and Q=C₁₅⋊₃C₈

Direct product G=N×Q with N=C₄ and Q=C₁₅⋊₃C₈

		d	ρ	Label	ID
C₄×C₁₅⋊₃C₈		480		C4xC15:3C8	480,162

Semidirect products G=N:Q with N=C₄ and Q=C₁₅⋊₃C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₁₅⋊₃C₈) = C₆₀⋊₅C₈	φ: C₁₅⋊₃C₈/C₆₀ → C₂ ⊆ Aut C₄	480		C4:(C15:3C8)	480,164

Non-split extensions G=N.Q with N=C₄ and Q=C₁₅⋊₃C₈

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

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Extensions 1→N→G→Q→1 with N=C4 and Q=C15⋊3C8