Extensions 1→N→G→Q→1 with N=C₂×Dic₃ and Q=C₄

Direct product G=N×Q with N=C₂×Dic₃ and Q=C₄

		d	ρ	Label	ID
C₂×C₄×Dic₃		96		C2xC4xDic3	96,129

Semidirect products G=N:Q with N=C₂×Dic₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃)⋊C₄ = C₂³.₆D₆	φ: C₄/C₁ → C₄ ⊆ Out C₂×Dic₃	24	4	(C2xDic3):C4	96,13
(C₂×Dic₃)⋊₂C₄ = C₆.C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₃	96		(C2xDic3):2C4	96,38
(C₂×Dic₃)⋊₃C₄ = C₂³.₁₆D₆	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3):3C4	96,84
(C₂×Dic₃)⋊₄C₄ = C₂×Dic₃⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₃	96		(C2xDic3):4C4	96,130

Non-split extensions G=N.Q with N=C₂×Dic₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃).C₄ = C₁₂.₄₇D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂×Dic₃	48	4-	(C2xDic3).C4	96,31
(C₂×Dic₃).₂C₄ = Dic₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₃	96		(C2xDic3).2C4	96,21
(C₂×Dic₃).₃C₄ = C₂₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₃	96		(C2xDic3).3C4	96,22
(C₂×Dic₃).₄C₄ = D₆⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).4C4	96,27
(C₂×Dic₃).₅C₄ = C₂×C₈⋊S₃	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).5C4	96,107
(C₂×Dic₃).₆C₄ = S₃×M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₃	24	4	(C2xDic3).6C4	96,113
(C₂×Dic₃).₇C₄ = C₈×Dic₃	φ: trivial image	96		(C2xDic3).7C4	96,20
(C₂×Dic₃).₈C₄ = S₃×C₂×C₈	φ: trivial image	48		(C2xDic3).8C4	96,106

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