Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²⋊A₄

Direct product G=N×Q with N=C₃ and Q=C₃²⋊A₄

		d	ρ	Label	ID
C₃×C₃²⋊A₄		54		C3xC3^2:A4	324,135

Non-split extensions G=N.Q with N=C₃ and Q=C₃²⋊A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃²⋊A₄) = C₆².₁₆C₃²	central extension (φ=1)	108		C3.1(C3^2:A4)	324,52
C₃.₂(C₃²⋊A₄) = C₆²⋊C₉	central extension (φ=1)	54		C3.2(C3^2:A4)	324,59
C₃.₃(C₃²⋊A₄) = C₆².₁₃C₃²	central stem extension (φ=1)	54	3	C3.3(C3^2:A4)	324,49
C₃.₄(C₃²⋊A₄) = C₆².₁₄C₃²	central stem extension (φ=1)	54	3	C3.4(C3^2:A4)	324,50
C₃.₅(C₃²⋊A₄) = C₆².₁₅C₃²	central stem extension (φ=1)	54	3	C3.5(C3^2:A4)	324,51
C₃.₆(C₃²⋊A₄) = He₃.A₄	central stem extension (φ=1)	54	9	C3.6(C3^2:A4)	324,53
C₃.₇(C₃²⋊A₄) = He₃⋊A₄	central stem extension (φ=1)	54	9	C3.7(C3^2:A4)	324,54
C₃.₈(C₃²⋊A₄) = He₃⋊₂A₄	central stem extension (φ=1)	36	9	C3.8(C3^2:A4)	324,55
C₃.₉(C₃²⋊A₄) = C₆².C₃²	central stem extension (φ=1)	54	9	C3.9(C3^2:A4)	324,56
C₃.₁₀(C₃²⋊A₄) = 3_-¹⁺²⋊A₄	central stem extension (φ=1)	54	9	C3.10(C3^2:A4)	324,57
C₃.₁₁(C₃²⋊A₄) = C₆².₆C₃²	central stem extension (φ=1)	36	9	C3.11(C3^2:A4)	324,58
C₃.₁₂(C₃²⋊A₄) = C₃³⋊₂A₄	central stem extension (φ=1)	18	3	C3.12(C3^2:A4)	324,60

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