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	288,655

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) = Dic₃⋊₃D₁₂	φ: Dic₃⋊D₄/Dic₃⋊C₄ → C₂ ⊆ Aut C₃	48		C3:1(Dic3:D4)	288,558
C₃⋊₂(Dic₃⋊D₄) = C₆².₈₂C₂³	φ: Dic₃⋊D₄/D₆⋊C₄ → C₂ ⊆ Aut C₃	48		C3:2(Dic3:D4)	288,560
C₃⋊₃(Dic₃⋊D₄) = C₆².₂₂₈C₂³	φ: Dic₃⋊D₄/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₃	144		C3:3(Dic3:D4)	288,741
C₃⋊₄(Dic₃⋊D₄) = D₆⋊D₁₂	φ: Dic₃⋊D₄/S₃×C₂×C₄ → C₂ ⊆ Aut C₃	48		C3:4(Dic3:D4)	288,554
C₃⋊₅(Dic₃⋊D₄) = C₆².₅₅C₂³	φ: Dic₃⋊D₄/C₂×D₁₂ → C₂ ⊆ Aut C₃	96		C3:5(Dic3:D4)	288,533
C₃⋊₆(Dic₃⋊D₄) = C₆².₁₀₀C₂³	φ: Dic₃⋊D₄/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₃	48		C3:6(Dic3:D4)	288,606
C₃⋊₇(Dic₃⋊D₄) = C₆².₁₁₃C₂³	φ: Dic₃⋊D₄/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₃	48		C3:7(Dic3:D4)	288,619

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) = D₁₈⋊D₄	φ: Dic₃⋊D₄/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₃	144		C3.(Dic3:D4)	288,94

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