Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃≀S₃

Direct product G=N×Q with N=C₃ and Q=C₃≀S₃

		d	ρ	Label	ID
C₃×C₃≀S₃		27		C3xC3wrS3	486,115

Semidirect products G=N:Q with N=C₃ and Q=C₃≀S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊C₃≀S₃ = C₃⁴⋊₅S₃	φ: C₃≀S₃/C₃≀C₃ → C₂ ⊆ Aut C₃	18	6	C3:C3wrS3	486,166

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁C₃≀S₃ = C₃.C₃≀S₃	φ: C₃≀S₃/C₃≀C₃ → C₂ ⊆ Aut C₃	54	6	C3.1C3wrS3	486,4
C₃.₂C₃≀S₃ = C₃²⋊C₉⋊C₆	φ: C₃≀S₃/C₃≀C₃ → C₂ ⊆ Aut C₃	18	6	C3.2C3wrS3	486,6
C₃.₃C₃≀S₃ = C₃.₃C₃≀S₃	φ: C₃≀S₃/C₃≀C₃ → C₂ ⊆ Aut C₃	54	6	C3.3C3wrS3	486,8
C₃.₄C₃≀S₃ = C₃³⋊₁D₉	φ: C₃≀S₃/C₃≀C₃ → C₂ ⊆ Aut C₃	18	6	C3.4C3wrS3	486,19
C₃.₅C₃≀S₃ = He₃⋊C₁₈	central extension (φ=1)	81		C3.5C3wrS3	486,24

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