Extensions 1→N→G→Q→1 with N=C₂×Dic₁₃ and Q=C₂

Direct product G=N×Q with N=C₂×Dic₁₃ and Q=C₂

		d	ρ	Label	ID
C₂²×Dic₁₃		208		C2^2xDic13	208,43

Semidirect products G=N:Q with N=C₂×Dic₁₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₁₃)⋊₁C₂ = D₂₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₃	104		(C2xDic13):1C2	208,14
(C₂×Dic₁₃)⋊₂C₂ = C₂³.D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₃	104		(C2xDic13):2C2	208,19
(C₂×Dic₁₃)⋊₃C₂ = D₄⋊₂D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₃	104	4-	(C2xDic13):3C2	208,40
(C₂×Dic₁₃)⋊₄C₂ = C₂×C₁₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₃	104		(C2xDic13):4C2	208,44
(C₂×Dic₁₃)⋊₅C₂ = C₂×C₄×D₁₃	φ: trivial image	104		(C2xDic13):5C2	208,36

Non-split extensions G=N.Q with N=C₂×Dic₁₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₁₃).₁C₂ = C₂₆.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).1C2	208,12
(C₂×Dic₁₃).₂C₂ = C₅₂⋊₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).2C2	208,13
(C₂×Dic₁₃).₃C₂ = C₂×Dic₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).3C2	208,35
(C₂×Dic₁₃).₄C₂ = C₂×C₁₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).4C2	208,32
(C₂×Dic₁₃).₅C₂ = C₁₃⋊M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₁₃	104	4-	(C2xDic13).5C2	208,33
(C₂×Dic₁₃).₆C₂ = C₄×Dic₁₃	φ: trivial image	208		(C2xDic13).6C2	208,11

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