Extensions 1→N→G→Q→1 with N=Dic₁₃ and Q=C₄

Direct product G=N×Q with N=Dic₁₃ and Q=C₄

		d	ρ	Label	ID
C₄×Dic₁₃		208		C4xDic13	208,11

Semidirect products G=N:Q with N=Dic₁₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₃⋊₁C₄ = C₂₆.D₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₃	208		Dic13:1C4	208,12
Dic₁₃⋊₂C₄ = C₄×C₁₃⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₃	52	4	Dic13:2C4	208,30
Dic₁₃⋊₃C₄ = C₅₂⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₃	52	4	Dic13:3C4	208,31

Non-split extensions G=N.Q with N=Dic₁₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₃.₁C₄ = C₈⋊D₁₃	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₃	104	2	Dic13.1C4	208,5
Dic₁₃.₂C₄ = C₂×C₁₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₃	208		Dic13.2C4	208,32
Dic₁₃.₃C₄ = C₁₃⋊M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₃	104	4-	Dic13.3C4	208,33
Dic₁₃.₄C₄ = C₈×D₁₃	φ: trivial image	104	2	Dic13.4C4	208,4

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