Extensions 1→N→G→Q→1 with N=C₃ and Q=He₃.₃S₃

Direct product G=N×Q with N=C₃ and Q=He₃.₃S₃

		d	ρ	Label	ID
C₃×He₃.₃S₃		54	6	C3xHe3.3S3	486,168

Semidirect products G=N:Q with N=C₃ and Q=He₃.₃S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(He₃.₃S₃) = He₃.(C₃⋊S₃)	φ: He₃.₃S₃/He₃.C₃ → C₂ ⊆ Aut C₃	81		C3:(He3.3S3)	486,186

Non-split extensions G=N.Q with N=C₃ and Q=He₃.₃S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(He₃.₃S₃) = (C₃×He₃).S₃	φ: He₃.₃S₃/He₃.C₃ → C₂ ⊆ Aut C₃	81		C3.1(He3.3S3)	486,44
C₃.₂(He₃.₃S₃) = C₃³.(C₃⋊S₃)	φ: He₃.₃S₃/He₃.C₃ → C₂ ⊆ Aut C₃	81		C3.2(He3.3S3)	486,45
C₃.₃(He₃.₃S₃) = C₃²⋊C₉⋊₆S₃	φ: He₃.₃S₃/He₃.C₃ → C₂ ⊆ Aut C₃	81		C3.3(He3.3S3)	486,46
C₃.₄(He₃.₃S₃) = C₃.(He₃⋊S₃)	φ: He₃.₃S₃/He₃.C₃ → C₂ ⊆ Aut C₃	81		C3.4(He3.3S3)	486,48
C₃.₅(He₃.₃S₃) = C₃²⋊C₉.₁₀S₃	φ: He₃.₃S₃/He₃.C₃ → C₂ ⊆ Aut C₃	81		C3.5(He3.3S3)	486,49
C₃.₆(He₃.₃S₃) = (C₃×C₉)⋊₅D₉	φ: He₃.₃S₃/He₃.C₃ → C₂ ⊆ Aut C₃	81		C3.6(He3.3S3)	486,53
C₃.₇(He₃.₃S₃) = He₃⋊₂D₉	φ: He₃.₃S₃/He₃.C₃ → C₂ ⊆ Aut C₃	81		C3.7(He3.3S3)	486,56
C₃.₈(He₃.₃S₃) = 3_-¹⁺²⋊D₉	φ: He₃.₃S₃/He₃.C₃ → C₂ ⊆ Aut C₃	81		C3.8(He3.3S3)	486,57

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