Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xC₄.Dic₃

Direct product G=NxQ with N=C₃ and Q=C₃xC₄.Dic₃

		d	ρ	Label	ID
C₃²xC₄.Dic₃		72		C3^2xC4.Dic3	432,470

Semidirect products G=N:Q with N=C₃ and Q=C₃xC₄.Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃xC₄.Dic₃) = C₃xD₆.Dic₃	φ: C₃xC₄.Dic₃/C₃xC₃:C₈ → C₂ ⊆ Aut C₃	48	4	C3:1(C3xC4.Dic3)	432,416
C₃:₂(C₃xC₄.Dic₃) = C₃xC₁₂.₅₈D₆	φ: C₃xC₄.Dic₃/C₆xC₁₂ → C₂ ⊆ Aut C₃	72		C3:2(C3xC4.Dic3)	432,486

Non-split extensions G=N.Q with N=C₃ and Q=C₃xC₄.Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃xC₄.Dic₃) = C₃xC₄.Dic₉	φ: C₃xC₄.Dic₃/C₆xC₁₂ → C₂ ⊆ Aut C₃	72	2	C3.1(C3xC4.Dic3)	432,125
C₃.₂(C₃xC₄.Dic₃) = He₃:₇M₄(2)	φ: C₃xC₄.Dic₃/C₆xC₁₂ → C₂ ⊆ Aut C₃	72	6	C3.2(C3xC4.Dic3)	432,137
C₃.₃(C₃xC₄.Dic₃) = C₃₆.C₁₂	φ: C₃xC₄.Dic₃/C₆xC₁₂ → C₂ ⊆ Aut C₃	72	6	C3.3(C3xC4.Dic3)	432,143
C₃.₄(C₃xC₄.Dic₃) = C₉xC₄.Dic₃	central extension (φ=1)	72	2	C3.4(C3xC4.Dic3)	432,127

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