Extensions 1→N→G→Q→1 with N=C₉○He₃ and Q=C₆

Direct product G=N×Q with N=C₉○He₃ and Q=C₆

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

Semidirect products G=N:Q with N=C₉○He₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₉○He₃⋊₁C₆ = 3_-¹⁺⁴⋊C₂	φ: C₆/C₁ → C₆ ⊆ Out C₉○He₃	27	18+	C9oHe3:1C6	486,238
C₉○He₃⋊₂C₆ = C₃≀S₃⋊₃C₃	φ: C₆/C₁ → C₆ ⊆ Out C₉○He₃	27	3	C9oHe3:2C6	486,125
C₉○He₃⋊₃C₆ = C₃≀C₃.C₆	φ: C₆/C₁ → C₆ ⊆ Out C₉○He₃	27	9	C9oHe3:3C6	486,132
C₉○He₃⋊₄C₆ = 3_-¹⁺⁴⋊₂C₂	φ: C₆/C₁ → C₆ ⊆ Out C₉○He₃	27	9	C9oHe3:4C6	486,239
C₉○He₃⋊₅C₆ = C₂×C₉.He₃	φ: C₆/C₂ → C₃ ⊆ Out C₉○He₃	54	3	C9oHe3:5C6	486,214
C₉○He₃⋊₆C₆ = C₂×C₉.₂He₃	φ: C₆/C₂ → C₃ ⊆ Out C₉○He₃	54	9	C9oHe3:6C6	486,219
C₉○He₃⋊₇C₆ = C₂×3_-¹⁺⁴	φ: C₆/C₂ → C₃ ⊆ Out C₉○He₃	54	9	C9oHe3:7C6	486,255
C₉○He₃⋊₈C₆ = C₃×He₃.₄S₃	φ: C₆/C₃ → C₂ ⊆ Out C₉○He₃	54	6	C9oHe3:8C6	486,234
C₉○He₃⋊₉C₆ = C₃×He₃.₄C₆	φ: C₆/C₃ → C₂ ⊆ Out C₉○He₃	81		C9oHe3:9C6	486,235

Non-split extensions G=N.Q with N=C₉○He₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₉○He₃.₁C₆ = He₃.C₁₈	φ: C₆/C₁ → C₆ ⊆ Out C₉○He₃	81	3	C9oHe3.1C6	486,26
C₉○He₃.₂C₆ = He₃.₂C₁₈	φ: C₆/C₁ → C₆ ⊆ Out C₉○He₃	81	3	C9oHe3.2C6	486,28
C₉○He₃.₃C₆ = C₂×C₉.₅He₃	φ: C₆/C₂ → C₃ ⊆ Out C₉○He₃	162	3	C9oHe3.3C6	486,79
C₉○He₃.₄C₆ = C₂×C₉.₆He₃	φ: C₆/C₂ → C₃ ⊆ Out C₉○He₃	162	3	C9oHe3.4C6	486,80
C₉○He₃.₅C₆ = He₃.₅C₁₈	φ: C₆/C₃ → C₂ ⊆ Out C₉○He₃	81	3	C9oHe3.5C6	486,164
C₉○He₃.₆C₆ = C₂×C₂₇○He₃	φ: trivial image	162	3	C9oHe3.6C6	486,209

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