Extensions 1→N→G→Q→1 with N=C₂×Dic₅ and Q=C₂

Direct product G=N×Q with N=C₂×Dic₅ and Q=C₂

		d	ρ	Label	ID
C₂²×Dic₅		80		C2^2xDic5	80,43

Semidirect products G=N:Q with N=C₂×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₅)⋊₁C₂ = D₁₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₅	40		(C2xDic5):1C2	80,14
(C₂×Dic₅)⋊₂C₂ = C₂³.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₅	40		(C2xDic5):2C2	80,19
(C₂×Dic₅)⋊₃C₂ = D₄⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₅	40	4-	(C2xDic5):3C2	80,40
(C₂×Dic₅)⋊₄C₂ = C₂×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₅	40		(C2xDic5):4C2	80,44
(C₂×Dic₅)⋊₅C₂ = C₂×C₄×D₅	φ: trivial image	40		(C2xDic5):5C2	80,36

Non-split extensions G=N.Q with N=C₂×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₅).₁C₂ = C₁₀.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).1C2	80,12
(C₂×Dic₅).₂C₂ = C₄⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).2C2	80,13
(C₂×Dic₅).₃C₂ = C₂×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).3C2	80,35
(C₂×Dic₅).₄C₂ = C₂×C₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).4C2	80,32
(C₂×Dic₅).₅C₂ = C₂².F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₅	40	4-	(C2xDic5).5C2	80,33
(C₂×Dic₅).₆C₂ = C₄×Dic₅	φ: trivial image	80		(C2xDic5).6C2	80,11

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