Extensions 1→N→G→Q→1 with N=C₃ and Q=Dic₃⋊₄D₄

Direct product G=N×Q with N=C₃ and Q=Dic₃⋊₄D₄

		d	ρ	Label	ID
C₃×Dic₃⋊₄D₄		48		C3xDic3:4D4	288,652

Semidirect products G=N:Q with N=C₃ and Q=Dic₃⋊₄D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Dic₃⋊₄D₄) = Dic₃⋊₄D₁₂	φ: Dic₃⋊₄D₄/C₄×Dic₃ → C₂ ⊆ Aut C₃	48		C3:1(Dic3:4D4)	288,528
C₃⋊₂(Dic₃⋊₄D₄) = C₆².₅₁C₂³	φ: Dic₃⋊₄D₄/Dic₃⋊C₄ → C₂ ⊆ Aut C₃	48		C3:2(Dic3:4D4)	288,529
C₃⋊₃(Dic₃⋊₄D₄) = C₆².₇₂C₂³	φ: Dic₃⋊₄D₄/D₆⋊C₄ → C₂ ⊆ Aut C₃	96		C3:3(Dic3:4D4)	288,550
C₃⋊₄(Dic₃⋊₄D₄) = C₆².₂₂₅C₂³	φ: Dic₃⋊₄D₄/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₃	144		C3:4(Dic3:4D4)	288,738
C₃⋊₅(Dic₃⋊₄D₄) = C₆².₄₉C₂³	φ: Dic₃⋊₄D₄/S₃×C₂×C₄ → C₂ ⊆ Aut C₃	96		C3:5(Dic3:4D4)	288,527
C₃⋊₆(Dic₃⋊₄D₄) = C₆².₉₄C₂³	φ: Dic₃⋊₄D₄/C₂²×Dic₃ → C₂ ⊆ Aut C₃	48		C3:6(Dic3:4D4)	288,600
C₃⋊₇(Dic₃⋊₄D₄) = C₆².₁₁₅C₂³	φ: Dic₃⋊₄D₄/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₃	48		C3:7(Dic3:4D4)	288,621

Non-split extensions G=N.Q with N=C₃ and Q=Dic₃⋊₄D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Dic₃⋊₄D₄) = Dic₉⋊₄D₄	φ: Dic₃⋊₄D₄/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₃	144		C3.(Dic3:4D4)	288,91

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