Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²xHe₃

Direct product G=NxQ with N=C₃ and Q=C₂²xHe₃

		d	ρ	Label	ID
C₂xC₆xHe₃		108		C2xC6xHe3	324,152

Semidirect products G=N:Q with N=C₃ and Q=C₂²xHe₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(C₂²xHe₃) = C₂xS₃xHe₃	φ: C₂²xHe₃/C₂xHe₃ → C₂ ⊆ Aut C₃	36	6	C3:(C2^2xHe3)	324,139

Non-split extensions G=N.Q with N=C₃ and Q=C₂²xHe₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₂²xHe₃) = C₂²xC₃²:C₉	central extension (φ=1)	108		C3.1(C2^2xHe3)	324,82
C₃.₂(C₂²xHe₃) = C₂²xC₃wrC₃	central stem extension (φ=1)	36		C3.2(C2^2xHe3)	324,86
C₃.₃(C₂²xHe₃) = C₂²xHe₃.C₃	central stem extension (φ=1)	108		C3.3(C2^2xHe3)	324,87
C₃.₄(C₂²xHe₃) = C₂²xHe₃:C₃	central stem extension (φ=1)	108		C3.4(C2^2xHe3)	324,88
C₃.₅(C₂²xHe₃) = C₂²xC₃.He₃	central stem extension (φ=1)	108		C3.5(C2^2xHe3)	324,89

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