Extensions 1→N→G→Q→1 with N=C₅²⋊₇C₈ and Q=C₂

Direct product G=N×Q with N=C₅²⋊₇C₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₅²⋊₇C₈		400		C2xC5^2:7C8	400,97

Semidirect products G=N:Q with N=C₅²⋊₇C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅²⋊₇C₈⋊₁C₂ = C₅²⋊₂D₈	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₇C₈	80	4	C5^2:7C8:1C2	400,64
C₅²⋊₇C₈⋊₂C₂ = D₂₀.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₇C₈	80	4	C5^2:7C8:2C2	400,66
C₅²⋊₇C₈⋊₃C₂ = C₅²⋊₇D₈	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₇C₈	200		C5^2:7C8:3C2	400,103
C₅²⋊₇C₈⋊₄C₂ = C₅²⋊₈SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₇C₈	200		C5^2:7C8:4C2	400,104
C₅²⋊₇C₈⋊₅C₂ = C₅²⋊₁₀SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₇C₈	200		C5^2:7C8:5C2	400,105
C₅²⋊₇C₈⋊₆C₂ = D₅×C₅⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₇C₈	80	4	C5^2:7C8:6C2	400,60
C₅²⋊₇C₈⋊₇C₂ = C₂₀.₃₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₇C₈	80	4	C5^2:7C8:7C2	400,62
C₅²⋊₇C₈⋊₈C₂ = C₄₀⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₇C₈	200		C5^2:7C8:8C2	400,93
C₅²⋊₇C₈⋊₉C₂ = C₂₀.₅₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₇C₈	200		C5^2:7C8:9C2	400,98
C₅²⋊₇C₈⋊₁₀C₂ = C₈×C₅⋊D₅	φ: trivial image	200		C5^2:7C8:10C2	400,92

Non-split extensions G=N.Q with N=C₅²⋊₇C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅²⋊₇C₈.₁C₂ = C₅²⋊₂Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₇C₈	80	4	C5^2:7C8.1C2	400,69
C₅²⋊₇C₈.₂C₂ = C₅²⋊₇Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₇C₈	400		C5^2:7C8.2C2	400,106
C₅²⋊₇C₈.₃C₂ = C₅²⋊₄C₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₇C₈	400		C5^2:7C8.3C2	400,58
C₅²⋊₇C₈.₄C₂ = C₅²⋊₅C₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅²⋊₇C₈	80	4	C5^2:7C8.4C2	400,59

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