Extensions 1→N→G→Q→1 with N=C₂⁴⋊C₉ and Q=C₃

Direct product G=N×Q with N=C₂⁴⋊C₉ and Q=C₃

		d	ρ	Label	ID
C₃×C₂⁴⋊C₉		108		C3xC2^4:C9	432,553

Semidirect products G=N:Q with N=C₂⁴⋊C₉ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₂⁴⋊C₉⋊₁C₃ = A₄×C₃.A₄	φ: C₃/C₁ → C₃ ⊆ Out C₂⁴⋊C₉	54	9	C2^4:C9:1C3	432,524
C₂⁴⋊C₉⋊₂C₃ = C₃.A₄²	φ: C₃/C₁ → C₃ ⊆ Out C₂⁴⋊C₉	36	9	C2^4:C9:2C3	432,525
C₂⁴⋊C₉⋊₃C₃ = C₂⁴⋊3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₂⁴⋊C₉	54	9	C2^4:C9:3C3	432,527
C₂⁴⋊C₉⋊₄C₃ = C₂⁴⋊₂3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₂⁴⋊C₉	36	9	C2^4:C9:4C3	432,528
C₂⁴⋊C₉⋊₅C₃ = C₂⁴⋊₄3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₂⁴⋊C₉	108		C2^4:C9:5C3	432,552
C₂⁴⋊C₉⋊₆C₃ = C₆².A₄	φ: C₃/C₁ → C₃ ⊆ Out C₂⁴⋊C₉	36		C2^4:C9:6C3	432,554
C₂⁴⋊C₉⋊₇C₃ = C₉×C₂²⋊A₄	φ: trivial image	108		C2^4:C9:7C3	432,551

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