Extensions 1→N→G→Q→1 with N=C₃² and Q=C₂²⋊A₄

Direct product G=N×Q with N=C₃² and Q=C₂²⋊A₄

		d	ρ	Label	ID
C₃²×C₂²⋊A₄		108		C3^2xC2^2:A4	432,771

Semidirect products G=N:Q with N=C₃² and Q=C₂²⋊A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊(C₂²⋊A₄) = C₆²⋊A₄	φ: C₂²⋊A₄/C₂⁴ → C₃ ⊆ Aut C₃²	36		C3^2:(C2^2:A4)	432,555

Non-split extensions G=N.Q with N=C₃² and Q=C₂²⋊A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².(C₂²⋊A₄) = C₆².A₄	φ: C₂²⋊A₄/C₂⁴ → C₃ ⊆ Aut C₃²	36		C3^2.(C2^2:A4)	432,554
C₃².₂(C₂²⋊A₄) = C₃×C₂⁴⋊C₉	central extension (φ=1)	108		C3^2.2(C2^2:A4)	432,553

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Extensions 1→N→G→Q→1 with N=C32 and Q=C22⋊A4