Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×Dic₃⋊C₄

Direct product G=N×Q with N=C₃ and Q=C₂×Dic₃⋊C₄

		d	ρ	Label	ID
C₆×Dic₃⋊C₄		96		C6xDic3:C4	288,694

Semidirect products G=N:Q with N=C₃ and Q=C₂×Dic₃⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×Dic₃⋊C₄) = S₃×Dic₃⋊C₄	φ: C₂×Dic₃⋊C₄/Dic₃⋊C₄ → C₂ ⊆ Aut C₃	96		C3:1(C2xDic3:C4)	288,524
C₃⋊₂(C₂×Dic₃⋊C₄) = C₂×Dic₃⋊Dic₃	φ: C₂×Dic₃⋊C₄/C₂²×Dic₃ → C₂ ⊆ Aut C₃	96		C3:2(C2xDic3:C4)	288,613
C₃⋊₃(C₂×Dic₃⋊C₄) = C₂×C₆².C₂²	φ: C₂×Dic₃⋊C₄/C₂²×Dic₃ → C₂ ⊆ Aut C₃	96		C3:3(C2xDic3:C4)	288,615
C₃⋊₄(C₂×Dic₃⋊C₄) = C₂×C₆.Dic₆	φ: C₂×Dic₃⋊C₄/C₂²×C₁₂ → C₂ ⊆ Aut C₃	288		C3:4(C2xDic3:C4)	288,780

Non-split extensions G=N.Q with N=C₃ and Q=C₂×Dic₃⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×Dic₃⋊C₄) = C₂×Dic₉⋊C₄	φ: C₂×Dic₃⋊C₄/C₂²×C₁₂ → C₂ ⊆ Aut C₃	288		C3.(C2xDic3:C4)	288,133

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