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

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

		d	ρ	Label	ID
C₂²×C₅⋊C₈		160		C2^2xC5:C8	160,210

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₅⋊C₈) = C₂³.₂F₅	φ: C₅⋊C₈/Dic₅ → C₂ ⊆ Aut C₂²	80		C2^2:(C5:C8)	160,87

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₅⋊C₈) = C₂₀.C₈	φ: C₅⋊C₈/Dic₅ → C₂ ⊆ Aut C₂²	80	4	C2^2.(C5:C8)	160,73
C₂².₂(C₅⋊C₈) = C₂×C₅⋊C₁₆	central extension (φ=1)	160		C2^2.2(C5:C8)	160,72

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