Extensions 1→N→G→Q→1 with N=C₃≀C₃ and Q=C₆

Direct product G=N×Q with N=C₃≀C₃ and Q=C₆

		d	ρ	Label	ID
C₆×C₃≀C₃		54		C6xC3wrC3	486,210

Semidirect products G=N:Q with N=C₃≀C₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃≀C₃⋊₁C₆ = C₃³⋊(C₃×S₃)	φ: C₆/C₁ → C₆ ⊆ Out C₃≀C₃	27	18+	C3wrC3:1C6	486,176
C₃≀C₃⋊₂C₆ = C₃≀C₃⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out C₃≀C₃	27	9	C3wrC3:2C6	486,126
C₃≀C₃⋊₃C₆ = (C₃×He₃)⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out C₃≀C₃	27	18+	C3wrC3:3C6	486,127
C₃≀C₃⋊₄C₆ = C₂×C₃³⋊C₃²	φ: C₆/C₂ → C₃ ⊆ Out C₃≀C₃	54	9	C3wrC3:4C6	486,215
C₃≀C₃⋊₅C₆ = C₂×C₉.₂He₃	φ: C₆/C₂ → C₃ ⊆ Out C₃≀C₃	54	9	C3wrC3:5C6	486,219
C₃≀C₃⋊₆C₆ = C₃×C₃³⋊S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃≀C₃	18	6	C3wrC3:6C6	486,165
C₃≀C₃⋊₇C₆ = C₃×C₃≀S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃≀C₃	27		C3wrC3:7C6	486,115
C₃≀C₃⋊₈C₆ = C₃×C₃³⋊C₆	φ: C₆/C₃ → C₂ ⊆ Out C₃≀C₃	18	6	C3wrC3:8C6	486,116
C₃≀C₃⋊₉C₆ = C₂×C₉.He₃	φ: trivial image	54	3	C3wrC3:9C6	486,214

Non-split extensions G=N.Q with N=C₃≀C₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃≀C₃.C₆ = C₃≀C₃.C₆	φ: C₆/C₁ → C₆ ⊆ Out C₃≀C₃	27	9	C3wrC3.C6	486,132
C₃≀C₃.₂C₆ = C₃≀S₃⋊₃C₃	φ: C₆/C₃ → C₂ ⊆ Out C₃≀C₃	27	3	C3wrC3.2C6	486,125

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