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	432,550

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⋊He₃	φ: C₃²⋊A₄/C₃×A₄ → C₃ ⊆ Aut C₂²	36	9	C2^2:1(C3^2:A4)	432,526
C₂²⋊₂(C₃²⋊A₄) = C₆²⋊A₄	φ: C₃²⋊A₄/C₆² → C₃ ⊆ Aut C₂²	36		C2^2:2(C3^2:A4)	432,555

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) = C₄²⋊He₃	φ: C₃²⋊A₄/C₆² → C₃ ⊆ Aut C₂²	36	3	C2^2.(C3^2:A4)	432,103
C₂².₂(C₃²⋊A₄) = C₂×Q₈⋊He₃	central extension (φ=1)	144		C2^2.2(C3^2:A4)	432,336

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