Extensions 1→N→G→Q→1 with N=C₃ and Q=Dic₃.D₄

Direct product G=N×Q with N=C₃ and Q=Dic₃.D₄

		d	ρ	Label	ID
C₃×Dic₃.D₄		48		C3xDic3.D4	288,649

Semidirect products G=N:Q with N=C₃ and Q=Dic₃.D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Dic₃.D₄) = D₆⋊₂Dic₆	φ: Dic₃.D₄/Dic₃⋊C₄ → C₂ ⊆ Aut C₃	96		C3:1(Dic3.D4)	288,541
C₃⋊₂(Dic₃.D₄) = D₆⋊₃Dic₆	φ: Dic₃.D₄/Dic₃⋊C₄ → C₂ ⊆ Aut C₃	96		C3:2(Dic3.D4)	288,544
C₃⋊₃(Dic₃.D₄) = D₆⋊₄Dic₆	φ: Dic₃.D₄/C₄⋊Dic₃ → C₂ ⊆ Aut C₃	96		C3:3(Dic3.D4)	288,547
C₃⋊₄(Dic₃.D₄) = C₆²⋊₄Q₈	φ: Dic₃.D₄/C₆.D₄ → C₂ ⊆ Aut C₃	48		C3:4(Dic3.D4)	288,630
C₃⋊₅(Dic₃.D₄) = C₆²⋊₆Q₈	φ: Dic₃.D₄/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₃	144		C3:5(Dic3.D4)	288,735
C₃⋊₆(Dic₃.D₄) = D₆⋊₁Dic₆	φ: Dic₃.D₄/C₂×Dic₆ → C₂ ⊆ Aut C₃	96		C3:6(Dic3.D4)	288,535
C₃⋊₇(Dic₃.D₄) = C₆²⋊₃Q₈	φ: Dic₃.D₄/C₂²×Dic₃ → C₂ ⊆ Aut C₃	48		C3:7(Dic3.D4)	288,612

Non-split extensions G=N.Q with N=C₃ and Q=Dic₃.D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Dic₃.D₄) = C₂²⋊₂Dic₁₈	φ: Dic₃.D₄/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₃	144		C3.(Dic3.D4)	288,88

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