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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊C₈⋊₁C₂² = C₂×C₄.F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊C₈	80		C5:C8:1C2^2	160,201
C₅⋊C₈⋊₂C₂² = D₅⋊M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊C₈	40	4	C5:C8:2C2^2	160,202
C₅⋊C₈⋊₃C₂² = C₂×C₂².F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊C₈	80		C5:C8:3C2^2	160,211
C₅⋊C₈⋊₄C₂² = C₂×D₅⋊C₈	φ: trivial image	80		C5:C8:4C2^2	160,200

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊C₈.₁C₂² = D₄.F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊C₈	80	8-	C5:C8.1C2^2	160,206
C₅⋊C₈.₂C₂² = Q₈.F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊C₈	80	8+	C5:C8.2C2^2	160,208

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