Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃xC₃:Dic₃

Direct product G=NxQ with N=C₂² and Q=C₃xC₃:Dic₃

		d	ρ	Label	ID
C₂xC₆xC₃:Dic₃		144		C2xC6xC3:Dic3	432,718

Semidirect products G=N:Q with N=C₂² and Q=C₃xC₃:Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:(C₃xC₃:Dic₃) = C₃xC₆.₇S₄	φ: C₃xC₃:Dic₃/C₃xC₆ → S₃ ⊆ Aut C₂²	36	6	C2^2:(C3xC3:Dic3)	432,618
C₂²:₂(C₃xC₃:Dic₃) = A₄xC₃:Dic₃	φ: C₃xC₃:Dic₃/C₃:Dic₃ → C₃ ⊆ Aut C₂²	108		C2^2:2(C3xC3:Dic3)	432,627
C₂²:₃(C₃xC₃:Dic₃) = C₃xC₆²:₅C₄	φ: C₃xC₃:Dic₃/C₃²xC₆ → C₂ ⊆ Aut C₂²	72		C2^2:3(C3xC3:Dic3)	432,495

Non-split extensions G=N.Q with N=C₂² and Q=C₃xC₃:Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃xC₃:Dic₃) = C₃xC₁₂.₅₈D₆	φ: C₃xC₃:Dic₃/C₃²xC₆ → C₂ ⊆ Aut C₂²	72		C2^2.(C3xC3:Dic3)	432,486
C₂².₂(C₃xC₃:Dic₃) = C₆xC₃²:₄C₈	central extension (φ=1)	144		C2^2.2(C3xC3:Dic3)	432,485

Extensions 1→N→G→Q→1 with N=C22 and Q=C3xC3:Dic3