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

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

		d	ρ	Label	ID
C₂²×C₅⋊₂C₈		160		C2^2xC5:2C8	160,141

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₅⋊₂C₈) = C₂₀.₅₅D₄	φ: C₅⋊₂C₈/C₂₀ → C₂ ⊆ Aut C₂²	80		C2^2:(C5:2C8)	160,37

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₅⋊₂C₈) = C₂₀.₄C₈	φ: C₅⋊₂C₈/C₂₀ → C₂ ⊆ Aut C₂²	80	2	C2^2.(C5:2C8)	160,19
C₂².₂(C₅⋊₂C₈) = C₂×C₅⋊₂C₁₆	central extension (φ=1)	160		C2^2.2(C5:2C8)	160,18

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