Extensions 1→N→G→Q→1 with N=C₃ and Q=He₃:₅S₃

Direct product G=NxQ with N=C₃ and Q=He₃:₅S₃

		d	ρ	Label	ID
C₃xHe₃:₅S₃		54		C3xHe3:5S3	486,243

Semidirect products G=N:Q with N=C₃ and Q=He₃:₅S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(He₃:₅S₃) = C₃⁴:₁₃S₃	φ: He₃:₅S₃/C₃xHe₃ → C₂ ⊆ Aut C₃	54		C3:(He3:5S3)	486,248

Non-split extensions G=N.Q with N=C₃ and Q=He₃:₅S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(He₃:₅S₃) = C₃³:₆D₉	φ: He₃:₅S₃/C₃xHe₃ → C₂ ⊆ Aut C₃	54		C3.1(He3:5S3)	486,181
C₃.₂(He₃:₅S₃) = He₃:₄D₉	φ: He₃:₅S₃/C₃xHe₃ → C₂ ⊆ Aut C₃	54	6	C3.2(He3:5S3)	486,182
C₃.₃(He₃:₅S₃) = C₃⁴:₇S₃	φ: He₃:₅S₃/C₃xHe₃ → C₂ ⊆ Aut C₃	27		C3.3(He3:5S3)	486,185
C₃.₄(He₃:₅S₃) = He₃.(C₃:S₃)	φ: He₃:₅S₃/C₃xHe₃ → C₂ ⊆ Aut C₃	81		C3.4(He3:5S3)	486,186
C₃.₅(He₃:₅S₃) = C₃:(He₃:S₃)	φ: He₃:₅S₃/C₃xHe₃ → C₂ ⊆ Aut C₃	81		C3.5(He3:5S3)	486,187
C₃.₆(He₃:₅S₃) = (C₃²xC₉).S₃	φ: He₃:₅S₃/C₃xHe₃ → C₂ ⊆ Aut C₃	81		C3.6(He3:5S3)	486,188
C₃.₇(He₃:₅S₃) = C₃wrC₃:S₃	φ: He₃:₅S₃/C₃xHe₃ → C₂ ⊆ Aut C₃	27	6+	C3.7(He3:5S3)	486,189
C₃.₈(He₃:₅S₃) = C₃⁴:₆S₃	central stem extension (φ=1)	27		C3.8(He3:5S3)	486,183

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