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

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

		d	ρ	Label	ID
C₃²×C₄.Dic₃		72		C3^2xC4.Dic3	432,470

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×C₄.Dic₃) = C₃×D₆.Dic₃	φ: C₃×C₄.Dic₃/C₃×C₃⋊C₈ → C₂ ⊆ Aut C₃	48	4	C3:1(C3xC4.Dic3)	432,416
C₃⋊₂(C₃×C₄.Dic₃) = C₃×C₁₂.₅₈D₆	φ: C₃×C₄.Dic₃/C₆×C₁₂ → C₂ ⊆ Aut C₃	72		C3:2(C3xC4.Dic3)	432,486

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃×C₄.Dic₃) = C₃×C₄.Dic₉	φ: C₃×C₄.Dic₃/C₆×C₁₂ → C₂ ⊆ Aut C₃	72	2	C3.1(C3xC4.Dic3)	432,125
C₃.₂(C₃×C₄.Dic₃) = He₃⋊₇M₄(2)	φ: C₃×C₄.Dic₃/C₆×C₁₂ → C₂ ⊆ Aut C₃	72	6	C3.2(C3xC4.Dic3)	432,137
C₃.₃(C₃×C₄.Dic₃) = C₃₆.C₁₂	φ: C₃×C₄.Dic₃/C₆×C₁₂ → C₂ ⊆ Aut C₃	72	6	C3.3(C3xC4.Dic3)	432,143
C₃.₄(C₃×C₄.Dic₃) = C₉×C₄.Dic₃	central extension (φ=1)	72	2	C3.4(C3xC4.Dic3)	432,127

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