Extensions 1→N→G→Q→1 with N=C₃ and Q=Dic₆⋊C₄

Direct product G=N×Q with N=C₃ and Q=Dic₆⋊C₄

		d	ρ	Label	ID
C₃×Dic₆⋊C₄		96		C3xDic6:C4	288,658

Semidirect products G=N:Q with N=C₃ and Q=Dic₆⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Dic₆⋊C₄) = Dic₃⋊₅Dic₆	φ: Dic₆⋊C₄/C₄×Dic₃ → C₂ ⊆ Aut C₃	96		C3:1(Dic6:C4)	288,485
C₃⋊₂(Dic₆⋊C₄) = Dic₃⋊₆Dic₆	φ: Dic₆⋊C₄/C₄×Dic₃ → C₂ ⊆ Aut C₃	96		C3:2(Dic6:C4)	288,492
C₃⋊₃(Dic₆⋊C₄) = C₆².₈C₂³	φ: Dic₆⋊C₄/Dic₃⋊C₄ → C₂ ⊆ Aut C₃	96		C3:3(Dic6:C4)	288,486
C₃⋊₄(Dic₆⋊C₄) = C₆².₂₃₁C₂³	φ: Dic₆⋊C₄/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	288		C3:4(Dic6:C4)	288,744
C₃⋊₅(Dic₆⋊C₄) = C₆².₁₃C₂³	φ: Dic₆⋊C₄/C₂×Dic₆ → C₂ ⊆ Aut C₃	96		C3:5(Dic6:C4)	288,491

Non-split extensions G=N.Q with N=C₃ and Q=Dic₆⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Dic₆⋊C₄) = Dic₉⋊₃Q₈	φ: Dic₆⋊C₄/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	288		C3.(Dic6:C4)	288,97

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