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
C₂²×C₉⋊A₄		108		C2^2xC9:A4	432,547

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) = C₂⁴⋊₂3_-¹⁺²	φ: C₉⋊A₄/C₃.A₄ → C₃ ⊆ Aut C₂²	36	9	C2^2:1(C9:A4)	432,528
C₂²⋊₂(C₉⋊A₄) = C₂⁴⋊₄3_-¹⁺²	φ: C₉⋊A₄/C₂×C₁₈ → C₃ ⊆ Aut C₂²	108		C2^2:2(C9:A4)	432,552
C₂²⋊₃(C₉⋊A₄) = C₂⁴⋊3_-¹⁺²	φ: C₉⋊A₄/C₃×A₄ → C₃ ⊆ Aut C₂²	54	9	C2^2:3(C9:A4)	432,527

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) = C₄²⋊3_-¹⁺²	φ: C₉⋊A₄/C₂×C₁₈ → C₃ ⊆ Aut C₂²	108	3	C2^2.(C9:A4)	432,100
C₂².₂(C₉⋊A₄) = C₂×C₁₈.A₄	central extension (φ=1)	144		C2^2.2(C9:A4)	432,328

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