Extensions 1→N→G→Q→1 with N=C₂² and Q=C₉×A₄

Direct product G=N×Q with N=C₂² and Q=C₉×A₄

		d	ρ	Label	ID
A₄×C₂×C₁₈		108		A4xC2xC18	432,546

Semidirect products G=N:Q with N=C₂² and Q=C₉×A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₉×A₄) = C₃.A₄²	φ: C₉×A₄/C₃.A₄ → C₃ ⊆ Aut C₂²	36	9	C2^2:1(C9xA4)	432,525
C₂²⋊₂(C₉×A₄) = C₉×C₂²⋊A₄	φ: C₉×A₄/C₂×C₁₈ → C₃ ⊆ Aut C₂²	108		C2^2:2(C9xA4)	432,551
C₂²⋊₃(C₉×A₄) = A₄×C₃.A₄	φ: C₉×A₄/C₃×A₄ → C₃ ⊆ Aut C₂²	54	9	C2^2:3(C9xA4)	432,524

Non-split extensions G=N.Q with N=C₂² and Q=C₉×A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₉×A₄) = C₉×C₄²⋊C₃	φ: C₉×A₄/C₂×C₁₈ → C₃ ⊆ Aut C₂²	108	3	C2^2.(C9xA4)	432,99
C₂².₂(C₉×A₄) = C₁₈×SL₂(𝔽₃)	central extension (φ=1)	144		C2^2.2(C9xA4)	432,327

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Extensions 1→N→G→Q→1 with N=C22 and Q=C9×A4