Extensions 1→N→G→Q→1 with N=C₃×Dic₁₉ and Q=C₂

Direct product G=N×Q with N=C₃×Dic₁₉ and Q=C₂

		d	ρ	Label	ID
C₆×Dic₁₉		456		C6xDic19	456,27

Semidirect products G=N:Q with N=C₃×Dic₁₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₁₉)⋊₁C₂ = S₃×Dic₁₉	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₉	228	4-	(C3xDic19):1C2	456,13
(C₃×Dic₁₉)⋊₂C₂ = D₅₇⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₉	228	4+	(C3xDic19):2C2	456,14
(C₃×Dic₁₉)⋊₃C₂ = C₁₉⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₉	228	4+	(C3xDic19):3C2	456,17
(C₃×Dic₁₉)⋊₄C₂ = C₃×C₁₉⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₉	228	2	(C3xDic19):4C2	456,28
(C₃×Dic₁₉)⋊₅C₂ = C₁₂×D₁₉	φ: trivial image	228	2	(C3xDic19):5C2	456,25

Non-split extensions G=N.Q with N=C₃×Dic₁₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₁₉).₁C₂ = C₅₇⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₉	456	4-	(C3xDic19).1C2	456,18
(C₃×Dic₁₉).₂C₂ = C₃×Dic₃₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₉	456	2	(C3xDic19).2C2	456,24

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁