Extensions 1→N→G→Q→1 with N=C₂×C₉○He₃ and Q=C₃

Direct product G=N×Q with N=C₂×C₉○He₃ and Q=C₃

		d	ρ	Label	ID
C₆×C₉○He₃		162		C6xC9oHe3	486,253

Semidirect products G=N:Q with N=C₂×C₉○He₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₉○He₃)⋊₁C₃ = C₂×C₉.He₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×C₉○He₃	54	3	(C2xC9oHe3):1C3	486,214
(C₂×C₉○He₃)⋊₂C₃ = C₂×C₉.₂He₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×C₉○He₃	54	9	(C2xC9oHe3):2C3	486,219
(C₂×C₉○He₃)⋊₃C₃ = C₂×3_-¹⁺⁴	φ: C₃/C₁ → C₃ ⊆ Out C₂×C₉○He₃	54	9	(C2xC9oHe3):3C3	486,255

Non-split extensions G=N.Q with N=C₂×C₉○He₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₉○He₃).₁C₃ = C₂×C₉.₅He₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×C₉○He₃	162	3	(C2xC9oHe3).1C3	486,79
(C₂×C₉○He₃).₂C₃ = C₂×C₉.₆He₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×C₉○He₃	162	3	(C2xC9oHe3).2C3	486,80
(C₂×C₉○He₃).₃C₃ = C₂×C₂₇○He₃	φ: trivial image	162	3	(C2xC9oHe3).3C3	486,209

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Extensions 1→N→G→Q→1 with N=C2×C9○He3 and Q=C3