C_n D_n S_n A_n ...

Extensions 1→N→G→Q→1 with N=C₂³×Dic₃ and Q=C₂

Direct product G=N×Q with N=C₂³×Dic₃ and Q=C₂

		d	ρ	Label	ID
Dic₃×C₂⁴		192		Dic3xC2^4	192,1528

Semidirect products G=N:Q with N=C₂³×Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×Dic₃)⋊₁C₂ = C₂⁴.₆₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₃	96		(C2^3xDic3):1C2	192,517
(C₂³×Dic₃)⋊₂C₂ = C₂⁴.₂₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₃	96		(C2^3xDic3):2C2	192,779
(C₂³×Dic₃)⋊₃C₂ = C₂×Dic₃⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₃	96		(C2^3xDic3):3C2	192,1044
(C₂³×Dic₃)⋊₄C₂ = C₂×C₂².D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₃	96		(C2^3xDic3):4C2	192,1051
(C₂³×Dic₃)⋊₅C₂ = C₂⁴.₆₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₃	48		(C2^3xDic3):5C2	192,1145
(C₂³×Dic₃)⋊₆C₂ = C₂²×D₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₃	96		(C2^3xDic3):6C2	192,1346
(C₂³×Dic₃)⋊₇C₂ = C₂×D₄×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₃	96		(C2^3xDic3):7C2	192,1354
(C₂³×Dic₃)⋊₈C₂ = C₂×C₂³.₂₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₃	96		(C2^3xDic3):8C2	192,1355
(C₂³×Dic₃)⋊₉C₂ = C₂×C₂³.₁₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₃	96		(C2^3xDic3):9C2	192,1361
(C₂³×Dic₃)⋊₁₀C₂ = C₂²×C₆.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₃	96		(C2^3xDic3):10C2	192,1398
(C₂³×Dic₃)⋊₁₁C₂ = C₂²×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₃	96		(C2^3xDic3):11C2	192,1515
(C₂³×Dic₃)⋊₁₂C₂ = C₂³×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₃	96		(C2^3xDic3):12C2	192,1529
(C₂³×Dic₃)⋊₁₃C₂ = S₃×C₂³×C₄	φ: trivial image	96		(C2^3xDic3):13C2	192,1511

Non-split extensions G=N.Q with N=C₂³×Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×Dic₃).₁C₂ = Dic₃×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₃	96		(C2^3xDic3).1C2	192,500
(C₂³×Dic₃).₂C₂ = C₂⁴.₅₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₃	96		(C2^3xDic3).2C2	192,501
(C₂³×Dic₃).₃C₂ = C₂⁴.₅₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₃	96		(C2^3xDic3).3C2	192,502
(C₂³×Dic₃).₄C₂ = C₂⁴.₅₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₃	96		(C2^3xDic3).4C2	192,505
(C₂³×Dic₃).₅C₂ = C₂⁴.₅₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₃	96		(C2^3xDic3).5C2	192,509
(C₂³×Dic₃).₆C₂ = C₂×C₂³.₃₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₃	192		(C2^3xDic3).6C2	192,767
(C₂³×Dic₃).₇C₂ = C₂×C₂³.₁₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₃	96		(C2^3xDic3).7C2	192,1039
(C₂³×Dic₃).₈C₂ = C₂×Dic₃.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₃	96		(C2^3xDic3).8C2	192,1040
(C₂³×Dic₃).₉C₂ = C₂²×Dic₃⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₃	192		(C2^3xDic3).9C2	192,1342
(C₂³×Dic₃).₁₀C₂ = C₂²×C₄⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₃	192		(C2^3xDic3).10C2	192,1344
(C₂³×Dic₃).₁₁C₂ = C₂³×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₃	192		(C2^3xDic3).11C2	192,1510
(C₂³×Dic₃).₁₂C₂ = Dic₃×C₂²×C₄	φ: trivial image	192		(C2^3xDic3).12C2	192,1341

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