Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₄○D₁₂

Direct product G=N×Q with N=C₃ and Q=C₂×C₄○D₁₂

		d	ρ	Label	ID
C₆×C₄○D₁₂		48		C6xC4oD12	288,991

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₄○D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×C₄○D₁₂) = C₂×D₆.₆D₆	φ: C₂×C₄○D₁₂/C₂×Dic₆ → C₂ ⊆ Aut C₃	48		C3:1(C2xC4oD12)	288,949
C₃⋊₂(C₂×C₄○D₁₂) = C₂×D₆.D₆	φ: C₂×C₄○D₁₂/S₃×C₂×C₄ → C₂ ⊆ Aut C₃	48		C3:2(C2xC4oD12)	288,948
C₃⋊₃(C₂×C₄○D₁₂) = C₂×D₁₂⋊₅S₃	φ: C₂×C₄○D₁₂/C₂×D₁₂ → C₂ ⊆ Aut C₃	96		C3:3(C2xC4oD12)	288,943
C₃⋊₄(C₂×C₄○D₁₂) = S₃×C₄○D₁₂	φ: C₂×C₄○D₁₂/C₄○D₁₂ → C₂ ⊆ Aut C₃	48	4	C3:4(C2xC4oD12)	288,953
C₃⋊₅(C₂×C₄○D₁₂) = C₂×D₆.₃D₆	φ: C₂×C₄○D₁₂/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₃	48		C3:5(C2xC4oD12)	288,970
C₃⋊₆(C₂×C₄○D₁₂) = C₂×C₁₂.₅₉D₆	φ: C₂×C₄○D₁₂/C₂²×C₁₂ → C₂ ⊆ Aut C₃	144		C3:6(C2xC4oD12)	288,1006

Non-split extensions G=N.Q with N=C₃ and Q=C₂×C₄○D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×C₄○D₁₂) = C₂×D₃₆⋊₅C₂	φ: C₂×C₄○D₁₂/C₂²×C₁₂ → C₂ ⊆ Aut C₃	144		C3.(C2xC4oD12)	288,355

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