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

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

		d	ρ	Label	ID
C₃²×C₃.A₄		162		C3^2xC3.A4	324,133

Semidirect products G=N:Q with N=C₃² and Q=C₃.A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊(C₃.A₄) = C₆²⋊C₉	φ: C₃.A₄/C₂×C₆ → C₃ ⊆ Aut C₃²	54		C3^2:(C3.A4)	324,59

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².(C₃.A₄) = C₆².C₉	φ: C₃.A₄/C₂×C₆ → C₃ ⊆ Aut C₃²	54	3	C3^2.(C3.A4)	324,45
C₃².₂(C₃.A₄) = C₃×C₉.A₄	central extension (φ=1)	162		C3^2.2(C3.A4)	324,44

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