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

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

		d	ρ	Label	ID
C₆×C₄.Dic₃		48		C6xC4.Dic3	288,692

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×C₄.Dic₃) = C₂×D₆.Dic₃	φ: C₂×C₄.Dic₃/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₃	96		C3:1(C2xC4.Dic3)	288,467
C₃⋊₂(C₂×C₄.Dic₃) = S₃×C₄.Dic₃	φ: C₂×C₄.Dic₃/C₄.Dic₃ → C₂ ⊆ Aut C₃	48	4	C3:2(C2xC4.Dic3)	288,461
C₃⋊₃(C₂×C₄.Dic₃) = C₂×C₁₂.₅₈D₆	φ: C₂×C₄.Dic₃/C₂²×C₁₂ → C₂ ⊆ Aut C₃	144		C3:3(C2xC4.Dic3)	288,778

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×C₄.Dic₃) = C₂×C₄.Dic₉	φ: C₂×C₄.Dic₃/C₂²×C₁₂ → C₂ ⊆ Aut C₃	144		C3.(C2xC4.Dic3)	288,131

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