Extensions 1→N→G→Q→1 with N=C₅⋊₂C₈ and Q=C₂

Direct product G=N×Q with N=C₅⋊₂C₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₅⋊₂C₈		80		C2xC5:2C8	80,9

Semidirect products G=N:Q with N=C₅⋊₂C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊₂C₈⋊₁C₂ = D₄⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅⋊₂C₈	40	4+	C5:2C8:1C2	80,15
C₅⋊₂C₈⋊₂C₂ = D₄.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅⋊₂C₈	40	4-	C5:2C8:2C2	80,16
C₅⋊₂C₈⋊₃C₂ = Q₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅⋊₂C₈	40	4+	C5:2C8:3C2	80,17
C₅⋊₂C₈⋊₄C₂ = C₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅⋊₂C₈	40	2	C5:2C8:4C2	80,5
C₅⋊₂C₈⋊₅C₂ = C₄.Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₅⋊₂C₈	40	2	C5:2C8:5C2	80,10
C₅⋊₂C₈⋊₆C₂ = C₈×D₅	φ: trivial image	40	2	C5:2C8:6C2	80,4

Non-split extensions G=N.Q with N=C₅⋊₂C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊₂C₈.₁C₂ = C₅⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅⋊₂C₈	80	4-	C5:2C8.1C2	80,18
C₅⋊₂C₈.₂C₂ = C₅⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅⋊₂C₈	80	4	C5:2C8.2C2	80,3

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