Extensions 1→N→G→Q→1 with N=C₂×Dic₂₅ and Q=C₂

Direct product G=N×Q with N=C₂×Dic₂₅ and Q=C₂

		d	ρ	Label	ID
C₂²×Dic₂₅		400		C2^2xDic25	400,43

Semidirect products G=N:Q with N=C₂×Dic₂₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₂₅)⋊₁C₂ = D₅₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₂₅	200		(C2xDic25):1C2	400,14
(C₂×Dic₂₅)⋊₂C₂ = C₂³.D₂₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₂₅	200		(C2xDic25):2C2	400,19
(C₂×Dic₂₅)⋊₃C₂ = D₄⋊₂D₂₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₂₅	200	4-	(C2xDic25):3C2	400,40
(C₂×Dic₂₅)⋊₄C₂ = C₂×C₂₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₂₅	200		(C2xDic25):4C2	400,44
(C₂×Dic₂₅)⋊₅C₂ = C₂×C₄×D₂₅	φ: trivial image	200		(C2xDic25):5C2	400,36

Non-split extensions G=N.Q with N=C₂×Dic₂₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₂₅).₁C₂ = C₅₀.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₂₅	400		(C2xDic25).1C2	400,12
(C₂×Dic₂₅).₂C₂ = C₄⋊Dic₂₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₂₅	400		(C2xDic25).2C2	400,13
(C₂×Dic₂₅).₃C₂ = C₂×Dic₅₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₂₅	400		(C2xDic25).3C2	400,35
(C₂×Dic₂₅).₄C₂ = C₂×C₂₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₂₅	400		(C2xDic25).4C2	400,32
(C₂×Dic₂₅).₅C₂ = C₂₅⋊M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₂₅	200	4-	(C2xDic25).5C2	400,33
(C₂×Dic₂₅).₆C₂ = C₄×Dic₂₅	φ: trivial image	400		(C2xDic25).6C2	400,11

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