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

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

		d	ρ	Label	ID
C₂²×C₃².A₄		36		C2^2xC3^2.A4	432,549

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₃².A₄) = C₂⁴⋊3_-¹⁺²	φ: C₃².A₄/C₃.A₄ → C₃ ⊆ Aut C₂²	54	9	C2^2:1(C3^2.A4)	432,527
C₂²⋊₂(C₃².A₄) = C₆².A₄	φ: C₃².A₄/C₆² → C₃ ⊆ Aut C₂²	36		C2^2:2(C3^2.A4)	432,554

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃².A₄) = C₁₂².C₃	φ: C₃².A₄/C₆² → C₃ ⊆ Aut C₂²	36	3	C2^2.(C3^2.A4)	432,102
C₂².₂(C₃².A₄) = C₂×Q₈⋊3_-¹⁺²	central extension (φ=1)	144		C2^2.2(C3^2.A4)	432,335

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