Extensions 1→N→G→Q→1 with N=C₂²×Dic₃ and Q=C₂

Direct product G=N×Q with N=C₂²×Dic₃ and Q=C₂

		d	ρ	Label	ID
C₂³×Dic₃		96		C2^3xDic3	96,218

Semidirect products G=N:Q with N=C₂²×Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×Dic₃)⋊₁C₂ = Dic₃⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₃	48		(C2^2xDic3):1C2	96,88
(C₂²×Dic₃)⋊₂C₂ = C₂³.₂₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₃	48		(C2^2xDic3):2C2	96,93
(C₂²×Dic₃)⋊₃C₂ = C₂×D₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₃	48		(C2^2xDic3):3C2	96,134
(C₂²×Dic₃)⋊₄C₂ = D₄×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₃	48		(C2^2xDic3):4C2	96,141
(C₂²×Dic₃)⋊₅C₂ = C₂³.₂₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₃	48		(C2^2xDic3):5C2	96,142
(C₂²×Dic₃)⋊₆C₂ = C₂³.₁₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₃	48		(C2^2xDic3):6C2	96,146
(C₂²×Dic₃)⋊₇C₂ = C₂×C₆.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₃	48		(C2^2xDic3):7C2	96,159
(C₂²×Dic₃)⋊₈C₂ = C₂×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₃	48		(C2^2xDic3):8C2	96,210
(C₂²×Dic₃)⋊₉C₂ = C₂²×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₃	48		(C2^2xDic3):9C2	96,219
(C₂²×Dic₃)⋊₁₀C₂ = S₃×C₂²×C₄	φ: trivial image	48		(C2^2xDic3):10C2	96,206

Non-split extensions G=N.Q with N=C₂²×Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×Dic₃).₁C₂ = C₆.C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₃	96		(C2^2xDic3).1C2	96,38
(C₂²×Dic₃).₂C₂ = C₂³.₁₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₃	48		(C2^2xDic3).2C2	96,84
(C₂²×Dic₃).₃C₂ = Dic₃.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₃	48		(C2^2xDic3).3C2	96,85
(C₂²×Dic₃).₄C₂ = C₂×Dic₃⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₃	96		(C2^2xDic3).4C2	96,130
(C₂²×Dic₃).₅C₂ = C₂×C₄⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₃	96		(C2^2xDic3).5C2	96,132
(C₂²×Dic₃).₆C₂ = C₂²×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₃	96		(C2^2xDic3).6C2	96,205
(C₂²×Dic₃).₇C₂ = C₂×C₄×Dic₃	φ: trivial image	96		(C2^2xDic3).7C2	96,129

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