Extensions 1→N→G→Q→1 with N=Dic₁₃ and Q=C₆

Direct product G=N×Q with N=Dic₁₃ and Q=C₆

		d	ρ	Label	ID
C₆×Dic₁₃		312		C6xDic13	312,30

Semidirect products G=N:Q with N=Dic₁₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₃⋊C₆ = D₂₆⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out Dic₁₃	52	6	Dic13:C6	312,12
Dic₁₃⋊₂C₆ = C₄×C₁₃⋊C₆	φ: C₆/C₂ → C₃ ⊆ Out Dic₁₃	52	6	Dic13:2C6	312,9
Dic₁₃⋊₃C₆ = C₂×C₂₆.C₆	φ: C₆/C₂ → C₃ ⊆ Out Dic₁₃	104		Dic13:3C6	312,11
Dic₁₃⋊₄C₆ = C₃×C₁₃⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₃	156	2	Dic13:4C6	312,31
Dic₁₃⋊₅C₆ = C₁₂×D₁₃	φ: trivial image	156	2	Dic13:5C6	312,28

Non-split extensions G=N.Q with N=Dic₁₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₃.₁C₆ = C₁₃⋊C₂₄	φ: C₆/C₁ → C₆ ⊆ Out Dic₁₃	104	12-	Dic13.1C6	312,7
Dic₁₃.₂C₆ = Dic₂₆⋊C₃	φ: C₆/C₁ → C₆ ⊆ Out Dic₁₃	104	6-	Dic13.2C6	312,8
Dic₁₃.₃C₆ = C₃×Dic₂₆	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₃	312	2	Dic13.3C6	312,27
Dic₁₃.₄C₆ = C₃×C₁₃⋊C₈	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₃	312	4	Dic13.4C6	312,13

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