Extensions 1→N→G→Q→1 with N=C₃×Dic₁₃ and Q=C₂

Direct product G=N×Q with N=C₃×Dic₁₃ and Q=C₂

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

Semidirect products G=N:Q with N=C₃×Dic₁₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₁₃)⋊₁C₂ = S₃×Dic₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₃	156	4-	(C3xDic13):1C2	312,16
(C₃×Dic₁₃)⋊₂C₂ = D₇₈.C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₃	156	4+	(C3xDic13):2C2	312,17
(C₃×Dic₁₃)⋊₃C₂ = C₁₃⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₃	156	4+	(C3xDic13):3C2	312,20
(C₃×Dic₁₃)⋊₄C₂ = C₃×C₁₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₃	156	2	(C3xDic13):4C2	312,31
(C₃×Dic₁₃)⋊₅C₂ = C₁₂×D₁₃	φ: trivial image	156	2	(C3xDic13):5C2	312,28

Non-split extensions G=N.Q with N=C₃×Dic₁₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₁₃).₁C₂ = C₃₉⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₃	312	4-	(C3xDic13).1C2	312,21
(C₃×Dic₁₃).₂C₂ = C₃×Dic₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₃	312	2	(C3xDic13).2C2	312,27
(C₃×Dic₁₃).₃C₂ = C₃₉⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₃	312	4	(C3xDic13).3C2	312,14
(C₃×Dic₁₃).₄C₂ = C₃×C₁₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₃	312	4	(C3xDic13).4C2	312,13

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁