Extensions 1→N→G→Q→1 with N=C₂₅⋊₂C₈ and Q=C₂

Direct product G=N×Q with N=C₂₅⋊₂C₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₅⋊₂C₈		400		C2xC25:2C8	400,9

Semidirect products G=N:Q with N=C₂₅⋊₂C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₅⋊₂C₈⋊₁C₂ = D₄.D₂₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₅⋊₂C₈	200	4-	C25:2C8:1C2	400,15
C₂₅⋊₂C₈⋊₂C₂ = D₄⋊D₂₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₅⋊₂C₈	200	4+	C25:2C8:2C2	400,16
C₂₅⋊₂C₈⋊₃C₂ = Q₈⋊D₂₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₅⋊₂C₈	200	4+	C25:2C8:3C2	400,18
C₂₅⋊₂C₈⋊₄C₂ = C₈⋊D₂₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₅⋊₂C₈	200	2	C25:2C8:4C2	400,6
C₂₅⋊₂C₈⋊₅C₂ = C₄.Dic₂₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₅⋊₂C₈	200	2	C25:2C8:5C2	400,10
C₂₅⋊₂C₈⋊₆C₂ = C₈×D₂₅	φ: trivial image	200	2	C25:2C8:6C2	400,5

Non-split extensions G=N.Q with N=C₂₅⋊₂C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₅⋊₂C₈.₁C₂ = C₂₅⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₅⋊₂C₈	400	4-	C25:2C8.1C2	400,17
C₂₅⋊₂C₈.₂C₂ = C₂₅⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₅⋊₂C₈	400	4	C25:2C8.2C2	400,3

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