Extensions 1→N→G→Q→1 with N=C₉oHe₃ and Q=C₆

Direct product G=NxQ with N=C₉oHe₃ and Q=C₆

		d	ρ	Label	ID
C₆xC₉oHe₃		162		C6xC9oHe3	486,253

Semidirect products G=N:Q with N=C₉oHe₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₉oHe₃:₁C₆ = 3_-¹⁺⁴:C₂	φ: C₆/C₁ → C₆ ⊆ Out C₉oHe₃	27	18+	C9oHe3:1C6	486,238
C₉oHe₃:₂C₆ = C₃wrS₃:₃C₃	φ: C₆/C₁ → C₆ ⊆ Out C₉oHe₃	27	3	C9oHe3:2C6	486,125
C₉oHe₃:₃C₆ = C₃wrC₃.C₆	φ: C₆/C₁ → C₆ ⊆ Out C₉oHe₃	27	9	C9oHe3:3C6	486,132
C₉oHe₃:₄C₆ = 3_-¹⁺⁴:₂C₂	φ: C₆/C₁ → C₆ ⊆ Out C₉oHe₃	27	9	C9oHe3:4C6	486,239
C₉oHe₃:₅C₆ = C₂xC₉.He₃	φ: C₆/C₂ → C₃ ⊆ Out C₉oHe₃	54	3	C9oHe3:5C6	486,214
C₉oHe₃:₆C₆ = C₂xC₉.₂He₃	φ: C₆/C₂ → C₃ ⊆ Out C₉oHe₃	54	9	C9oHe3:6C6	486,219
C₉oHe₃:₇C₆ = C₂x3_-¹⁺⁴	φ: C₆/C₂ → C₃ ⊆ Out C₉oHe₃	54	9	C9oHe3:7C6	486,255
C₉oHe₃:₈C₆ = C₃xHe₃.₄S₃	φ: C₆/C₃ → C₂ ⊆ Out C₉oHe₃	54	6	C9oHe3:8C6	486,234
C₉oHe₃:₉C₆ = C₃xHe₃.₄C₆	φ: C₆/C₃ → C₂ ⊆ Out C₉oHe₃	81		C9oHe3:9C6	486,235

Non-split extensions G=N.Q with N=C₉oHe₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₉oHe₃.₁C₆ = He₃.C₁₈	φ: C₆/C₁ → C₆ ⊆ Out C₉oHe₃	81	3	C9oHe3.1C6	486,26
C₉oHe₃.₂C₆ = He₃.₂C₁₈	φ: C₆/C₁ → C₆ ⊆ Out C₉oHe₃	81	3	C9oHe3.2C6	486,28
C₉oHe₃.₃C₆ = C₂xC₉.₅He₃	φ: C₆/C₂ → C₃ ⊆ Out C₉oHe₃	162	3	C9oHe3.3C6	486,79
C₉oHe₃.₄C₆ = C₂xC₉.₆He₃	φ: C₆/C₂ → C₃ ⊆ Out C₉oHe₃	162	3	C9oHe3.4C6	486,80
C₉oHe₃.₅C₆ = He₃.₅C₁₈	φ: C₆/C₃ → C₂ ⊆ Out C₉oHe₃	81	3	C9oHe3.5C6	486,164
C₉oHe₃.₆C₆ = C₂xC₂₇oHe₃	φ: trivial image	162	3	C9oHe3.6C6	486,209

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