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

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

		d	ρ	Label	ID
C₄×C₁₅⋊C₈		480		C4xC15:C8	480,305

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₁₅⋊C₈) = C₆₀⋊C₈	φ: C₁₅⋊C₈/C₃×Dic₅ → C₂ ⊆ Aut C₄	480		C4:(C15:C8)	480,306

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₁₅⋊C₈) = C₆₀.C₈	φ: C₁₅⋊C₈/C₃×Dic₅ → C₂ ⊆ Aut C₄	240	4	C4.(C15:C8)	480,303
C₄.₂(C₁₅⋊C₈) = C₁₅⋊C₃₂	central extension (φ=1)	480	4	C4.2(C15:C8)	480,6
C₄.₃(C₁₅⋊C₈) = C₂×C₁₅⋊C₁₆	central extension (φ=1)	480		C4.3(C15:C8)	480,302

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