Extensions 1→N→G→Q→1 with N=C₅²⋊₆C₄ and Q=C₂

Direct product G=N×Q with N=C₅²⋊₆C₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₅²⋊₆C₄		200		C2xC5^2:6C4	200,35

Semidirect products G=N:Q with N=C₅²⋊₆C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅²⋊₆C₄⋊₁C₂ = D₅×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₆C₄	40	4-	C5^2:6C4:1C2	200,22
C₅²⋊₆C₄⋊₂C₂ = C₅²⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₆C₄	40	4-	C5^2:6C4:2C2	200,24
C₅²⋊₆C₄⋊₃C₂ = C₅²⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₆C₄	100		C5^2:6C4:3C2	200,36
C₅²⋊₆C₄⋊₄C₂ = C₄×C₅⋊D₅	φ: trivial image	100		C5^2:6C4:4C2	200,33

Non-split extensions G=N.Q with N=C₅²⋊₆C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅²⋊₆C₄.₁C₂ = C₅²⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₆C₄	40	4-	C5^2:6C4.1C2	200,26
C₅²⋊₆C₄.₂C₂ = C₅²⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₆C₄	200		C5^2:6C4.2C2	200,32
C₅²⋊₆C₄.₃C₂ = C₅²⋊₄C₈	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₆C₄	200		C5^2:6C4.3C2	200,20
C₅²⋊₆C₄.₄C₂ = C₅²⋊₅C₈	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₆C₄	40	4-	C5^2:6C4.4C2	200,21

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