Extensions 1→N→G→Q→1 with N=C₄×D₂₅ and Q=C₂

Direct product G=N×Q with N=C₄×D₂₅ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×D₂₅		200		C2xC4xD25	400,36

Semidirect products G=N:Q with N=C₄×D₂₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₂₅)⋊₁C₂ = D₄×D₂₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₅	100	4+	(C4xD25):1C2	400,39
(C₄×D₂₅)⋊₂C₂ = D₄⋊₂D₂₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₅	200	4-	(C4xD25):2C2	400,40
(C₄×D₂₅)⋊₃C₂ = Q₈⋊₂D₂₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₅	200	4+	(C4xD25):3C2	400,42
(C₄×D₂₅)⋊₄C₂ = D₁₀₀⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₅	200	2	(C4xD25):4C2	400,38

Non-split extensions G=N.Q with N=C₄×D₂₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₂₅).₁C₂ = Q₈×D₂₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₅	200	4-	(C4xD25).1C2	400,41
(C₄×D₂₅).₂C₂ = C₈⋊D₂₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₅	200	2	(C4xD25).2C2	400,6
(C₄×D₂₅).₃C₂ = C₁₀₀.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₅	200	4	(C4xD25).3C2	400,29
(C₄×D₂₅).₄C₂ = C₁₀₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₅	100	4	(C4xD25).4C2	400,31
(C₄×D₂₅).₅C₂ = D₂₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₅	200	4	(C4xD25).5C2	400,28
(C₄×D₂₅).₆C₂ = C₄×C₂₅⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₅	100	4	(C4xD25).6C2	400,30
(C₄×D₂₅).₇C₂ = C₈×D₂₅	φ: trivial image	200	2	(C4xD25).7C2	400,5

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