Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃×C₅⋊₂C₈

Direct product G=N×Q with N=C₄ and Q=C₃×C₅⋊₂C₈

		d	ρ	Label	ID
C₁₂×C₅⋊₂C₈		480		C12xC5:2C8	480,80

Semidirect products G=N:Q with N=C₄ and Q=C₃×C₅⋊₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₃×C₅⋊₂C₈) = C₃×C₂₀⋊₃C₈	φ: C₃×C₅⋊₂C₈/C₆₀ → C₂ ⊆ Aut C₄	480		C4:(C3xC5:2C8)	480,82

Non-split extensions G=N.Q with N=C₄ and Q=C₃×C₅⋊₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₃×C₅⋊₂C₈) = C₃×C₂₀.₄C₈	φ: C₃×C₅⋊₂C₈/C₆₀ → C₂ ⊆ Aut C₄	240	2	C4.(C3xC5:2C8)	480,90
C₄.₂(C₃×C₅⋊₂C₈) = C₃×C₅⋊₂C₃₂	central extension (φ=1)	480	2	C4.2(C3xC5:2C8)	480,2
C₄.₃(C₃×C₅⋊₂C₈) = C₆×C₅⋊₂C₁₆	central extension (φ=1)	480		C4.3(C3xC5:2C8)	480,89

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Extensions 1→N→G→Q→1 with N=C4 and Q=C3×C5⋊2C8