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

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

		d	ρ	Label	ID
C₃²×A₄		36		C3^2xA4	108,41

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊A₄ = C₃²⋊A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₃²	18	3	C3^2:A4	108,22

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².A₄ = C₃².A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₃²	18	3	C3^2.A4	108,21
C₃².₂A₄ = C₃×C₃.A₄	central extension (φ=1)	54		C3^2.2A4	108,20

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