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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊Dic₃ = C₂³.₇D₆	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂×C₄	24	4	(C2xC4):Dic3	96,41
(C₂×C₄)⋊₂Dic₃ = C₆.C₄²	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₄	96		(C2xC4):2Dic3	96,38
(C₂×C₄)⋊₃Dic₃ = C₂×C₄⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₄	96		(C2xC4):3Dic3	96,132
(C₂×C₄)⋊₄Dic₃ = C₂³.₂₆D₆	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₄	48		(C2xC4):4Dic3	96,133

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).Dic₃ = C₁₂.₁₀D₄	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂×C₄	48	4	(C2xC4).Dic3	96,43
(C₂×C₄).₂Dic₃ = C₄².S₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₄	96		(C2xC4).2Dic3	96,10
(C₂×C₄).₃Dic₃ = C₁₂⋊C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₄	96		(C2xC4).3Dic3	96,11
(C₂×C₄).₄Dic₃ = C₁₂.₅₅D₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₄	48		(C2xC4).4Dic3	96,37
(C₂×C₄).₅Dic₃ = C₁₂.C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₄	48	2	(C2xC4).5Dic3	96,19
(C₂×C₄).₆Dic₃ = C₂×C₄.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₄	48		(C2xC4).6Dic3	96,128
(C₂×C₄).₇Dic₃ = C₄×C₃⋊C₈	central extension (φ=1)	96		(C2xC4).7Dic3	96,9
(C₂×C₄).₈Dic₃ = C₂×C₃⋊C₁₆	central extension (φ=1)	96		(C2xC4).8Dic3	96,18
(C₂×C₄).₉Dic₃ = C₂²×C₃⋊C₈	central extension (φ=1)	96		(C2xC4).9Dic3	96,127

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