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
A₄×C₆²		108		A4xC6^2	432,770

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) = C₃×A₄²	φ: C₃²×A₄/C₃×A₄ → C₃ ⊆ Aut C₂²	36	9	C2^2:1(C3^2xA4)	432,750
C₂²⋊₂(C₃²×A₄) = C₃²×C₂²⋊A₄	φ: C₃²×A₄/C₆² → C₃ ⊆ Aut C₂²	108		C2^2:2(C3^2xA4)	432,771

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) = C₃²×C₄²⋊C₃	φ: C₃²×A₄/C₆² → C₃ ⊆ Aut C₂²	108		C2^2.(C3^2xA4)	432,463
C₂².₂(C₃²×A₄) = C₃×C₆×SL₂(𝔽₃)	central extension (φ=1)	144		C2^2.2(C3^2xA4)	432,698

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