Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃×C₅⋊₂C₈

Direct product G=N×Q with N=C₂² and Q=C₃×C₅⋊₂C₈

		d	ρ	Label	ID
C₂×C₆×C₅⋊₂C₈		480		C2xC6xC5:2C8	480,713

Semidirect products G=N:Q with N=C₂² and Q=C₃×C₅⋊₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃×C₅⋊₂C₈) = A₄×C₅⋊₂C₈	φ: C₃×C₅⋊₂C₈/C₅⋊₂C₈ → C₃ ⊆ Aut C₂²	120	6	C2^2:(C3xC5:2C8)	480,265
C₂²⋊₂(C₃×C₅⋊₂C₈) = C₃×C₂₀.₅₅D₄	φ: C₃×C₅⋊₂C₈/C₆₀ → C₂ ⊆ Aut C₂²	240		C2^2:2(C3xC5:2C8)	480,108

Non-split extensions G=N.Q with N=C₂² and Q=C₃×C₅⋊₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃×C₅⋊₂C₈) = C₃×C₂₀.₄C₈	φ: C₃×C₅⋊₂C₈/C₆₀ → C₂ ⊆ Aut C₂²	240	2	C2^2.(C3xC5:2C8)	480,90
C₂².₂(C₃×C₅⋊₂C₈) = C₆×C₅⋊₂C₁₆	central extension (φ=1)	480		C2^2.2(C3xC5:2C8)	480,89

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Extensions 1→N→G→Q→1 with N=C22 and Q=C3×C5⋊2C8