Extensions 1→N→G→Q→1 with N=C₆×Dic₉ and Q=C₂

Direct product G=N×Q with N=C₆×Dic₉ and Q=C₂

		d	ρ	Label	ID
C₂×C₆×Dic₉		144		C2xC6xDic9	432,372

Semidirect products G=N:Q with N=C₆×Dic₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×Dic₉)⋊₁C₂ = C₆.₁₈D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₉	72		(C6xDic9):1C2	432,92
(C₆×Dic₉)⋊₂C₂ = D₆⋊Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₉	144		(C6xDic9):2C2	432,93
(C₆×Dic₉)⋊₃C₂ = C₃×D₁₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₉	144		(C6xDic9):3C2	432,134
(C₆×Dic₉)⋊₄C₂ = C₃×C₁₈.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₉	72		(C6xDic9):4C2	432,164
(C₆×Dic₉)⋊₅C₂ = C₂×C₁₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₉	72		(C6xDic9):5C2	432,306
(C₆×Dic₉)⋊₆C₂ = C₂×S₃×Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₉	144		(C6xDic9):6C2	432,308
(C₆×Dic₉)⋊₇C₂ = Dic₃.D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₉	72	4	(C6xDic9):7C2	432,309
(C₆×Dic₉)⋊₈C₂ = C₂×C₉⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₉	72		(C6xDic9):8C2	432,312
(C₆×Dic₉)⋊₉C₂ = C₃×D₄⋊₂D₉	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₉	72	4	(C6xDic9):9C2	432,357
(C₆×Dic₉)⋊₁₀C₂ = C₆×C₉⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₉	72		(C6xDic9):10C2	432,374
(C₆×Dic₉)⋊₁₁C₂ = D₉×C₂×C₁₂	φ: trivial image	144		(C6xDic9):11C2	432,342

Non-split extensions G=N.Q with N=C₆×Dic₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×Dic₉).₁C₂ = Dic₃×Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₉	144		(C6xDic9).1C2	432,87
(C₆×Dic₉).₂C₂ = Dic₉⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₉	144		(C6xDic9).2C2	432,88
(C₆×Dic₉).₃C₂ = C₁₈.Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₉	144		(C6xDic9).3C2	432,89
(C₆×Dic₉).₄C₂ = Dic₃⋊Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₉	144		(C6xDic9).4C2	432,90
(C₆×Dic₉).₅C₂ = C₃×Dic₉⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₉	144		(C6xDic9).5C2	432,129
(C₆×Dic₉).₆C₂ = C₃×C₄⋊Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₉	144		(C6xDic9).6C2	432,130
(C₆×Dic₉).₇C₂ = C₂×C₉⋊Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₉	144		(C6xDic9).7C2	432,303
(C₆×Dic₉).₈C₂ = C₆×Dic₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₉	144		(C6xDic9).8C2	432,340
(C₆×Dic₉).₉C₂ = C₁₂×Dic₉	φ: trivial image	144		(C6xDic9).9C2	432,128

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁