Extensions 1→N→G→Q→1 with N=C₃ and Q=He₃.₂S₃

Direct product G=N×Q with N=C₃ and Q=He₃.₂S₃

		d	ρ	Label	ID
C₃×He₃.₂S₃		54	6	C3xHe3.2S3	486,122

Semidirect products G=N:Q with N=C₃ and Q=He₃.₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(He₃.₂S₃) = He₃⋊C₃⋊₃S₃	φ: He₃.₂S₃/He₃⋊C₃ → C₂ ⊆ Aut C₃	81		C3:(He3.2S3)	486,173

Non-split extensions G=N.Q with N=C₃ and Q=He₃.₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(He₃.₂S₃) = He₃⋊D₉	φ: He₃.₂S₃/He₃⋊C₃ → C₂ ⊆ Aut C₃	81		C3.1(He3.2S3)	486,25
C₃.₂(He₃.₂S₃) = C₉²⋊C₆	φ: He₃.₂S₃/He₃⋊C₃ → C₂ ⊆ Aut C₃	27	6+	C3.2(He3.2S3)	486,35
C₃.₃(He₃.₂S₃) = C₉²⋊₂C₆	φ: He₃.₂S₃/He₃⋊C₃ → C₂ ⊆ Aut C₃	27	6+	C3.3(He3.2S3)	486,37
C₃.₄(He₃.₂S₃) = C₉⋊S₃⋊₃C₉	central extension (φ=1)	54	6	C3.4(He3.2S3)	486,22
C₃.₅(He₃.₂S₃) = C₃²⋊C₉.S₃	central stem extension (φ=1)	18	6	C3.5(He3.2S3)	486,5
C₃.₆(He₃.₂S₃) = C₃.₃C₃≀S₃	central stem extension (φ=1)	54	6	C3.6(He3.2S3)	486,8
C₃.₇(He₃.₂S₃) = C₃³.(C₃×S₃)	central stem extension (φ=1)	54	6	C3.7(He3.2S3)	486,11

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