Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xC₃:D₄

Direct product G=NxQ with N=C₃ and Q=C₃xC₃:D₄

		d	ρ	Label	ID
C₃²xC₃:D₄		36		C3^2xC3:D4	216,139

Semidirect products G=N:Q with N=C₃ and Q=C₃xC₃:D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃xC₃:D₄) = C₃xC₃:D₁₂	φ: C₃xC₃:D₄/C₃xDic₃ → C₂ ⊆ Aut C₃	24	4	C3:1(C3xC3:D4)	216,122
C₃:₂(C₃xC₃:D₄) = C₃xD₆:S₃	φ: C₃xC₃:D₄/S₃xC₆ → C₂ ⊆ Aut C₃	24	4	C3:2(C3xC3:D4)	216,121
C₃:₃(C₃xC₃:D₄) = C₃xC₃²:₇D₄	φ: C₃xC₃:D₄/C₆² → C₂ ⊆ Aut C₃	36		C3:3(C3xC3:D4)	216,144

Non-split extensions G=N.Q with N=C₃ and Q=C₃xC₃:D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃xC₃:D₄) = C₃xC₉:D₄	φ: C₃xC₃:D₄/C₆² → C₂ ⊆ Aut C₃	36	2	C3.1(C3xC3:D4)	216,57
C₃.₂(C₃xC₃:D₄) = He₃:₆D₄	φ: C₃xC₃:D₄/C₆² → C₂ ⊆ Aut C₃	36	6	C3.2(C3xC3:D4)	216,60
C₃.₃(C₃xC₃:D₄) = Dic₉:C₆	φ: C₃xC₃:D₄/C₆² → C₂ ⊆ Aut C₃	36	6	C3.3(C3xC3:D4)	216,62
C₃.₄(C₃xC₃:D₄) = C₉xC₃:D₄	central extension (φ=1)	36	2	C3.4(C3xC3:D4)	216,58

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