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

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

		d	ρ	Label	ID
C₃×He₃⋊S₃		54	6	C3xHe3:S3	486,171

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(He₃⋊S₃) = C₃⋊(He₃⋊S₃)	φ: He₃⋊S₃/He₃⋊C₃ → C₂ ⊆ Aut C₃	81		C3:(He3:S3)	486,187

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(He₃⋊S₃) = (C₃×He₃)⋊S₃	φ: He₃⋊S₃/He₃⋊C₃ → C₂ ⊆ Aut C₃	81		C3.1(He3:S3)	486,43
C₃.₂(He₃⋊S₃) = C₃²⋊C₉⋊₆S₃	φ: He₃⋊S₃/He₃⋊C₃ → C₂ ⊆ Aut C₃	81		C3.2(He3:S3)	486,46
C₃.₃(He₃⋊S₃) = C₃.(He₃⋊S₃)	φ: He₃⋊S₃/He₃⋊C₃ → C₂ ⊆ Aut C₃	81		C3.3(He3:S3)	486,48
C₃.₄(He₃⋊S₃) = (C₃×C₉)⋊₆D₉	φ: He₃⋊S₃/He₃⋊C₃ → C₂ ⊆ Aut C₃	81		C3.4(He3:S3)	486,54
C₃.₅(He₃⋊S₃) = He₃⋊₂D₉	φ: He₃⋊S₃/He₃⋊C₃ → C₂ ⊆ Aut C₃	81		C3.5(He3:S3)	486,56
C₃.₆(He₃⋊S₃) = C₉²⋊₂S₃	central stem extension (φ=1)	27	3	C3.6(He3:S3)	486,61

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