Extensions 1→N→G→Q→1 with N=C₃² and Q=C₆²

Direct product G=N×Q with N=C₃² and Q=C₆²

		d	ρ	Label	ID
C₃²×C₆²		324		C3^2xC6^2	324,176

Semidirect products G=N:Q with N=C₃² and Q=C₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊C₆² = C₆×C₃²⋊C₆	φ: C₆²/C₆ → C₆ ⊆ Aut C₃²	36	6	C3^2:C6^2	324,138
C₃²⋊₂C₆² = S₃²×C₃²	φ: C₆²/C₃² → C₂² ⊆ Aut C₃²	36		C3^2:2C6^2	324,165
C₃²⋊₃C₆² = C₂×C₆×He₃	φ: C₆²/C₂×C₆ → C₃ ⊆ Aut C₃²	108		C3^2:3C6^2	324,152
C₃²⋊₄C₆² = S₃×C₃²×C₆	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₃²	108		C3^2:4C6^2	324,172
C₃²⋊₅C₆² = C₃⋊S₃×C₃×C₆	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₃²	36		C3^2:5C6^2	324,173

Non-split extensions G=N.Q with N=C₃² and Q=C₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².₁C₆² = C₂²×C₃≀C₃	φ: C₆²/C₂×C₆ → C₃ ⊆ Aut C₃²	36		C3^2.1C6^2	324,86
C₃².₂C₆² = C₂²×He₃.C₃	φ: C₆²/C₂×C₆ → C₃ ⊆ Aut C₃²	108		C3^2.2C6^2	324,87
C₃².₃C₆² = C₂²×He₃⋊C₃	φ: C₆²/C₂×C₆ → C₃ ⊆ Aut C₃²	108		C3^2.3C6^2	324,88
C₃².₄C₆² = C₂²×C₃.He₃	φ: C₆²/C₂×C₆ → C₃ ⊆ Aut C₃²	108		C3^2.4C6^2	324,89
C₃².₅C₆² = C₂×C₆×3_-¹⁺²	φ: C₆²/C₂×C₆ → C₃ ⊆ Aut C₃²	108		C3^2.5C6^2	324,153
C₃².₆C₆² = C₂²×C₉○He₃	φ: C₆²/C₂×C₆ → C₃ ⊆ Aut C₃²	108		C3^2.6C6^2	324,154
C₃².₇C₆² = S₃×C₃×C₁₈	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₃²	108		C3^2.7C6^2	324,137
C₃².₈C₆² = C₂×S₃×He₃	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₃²	36	6	C3^2.8C6^2	324,139
C₃².₉C₆² = C₂×S₃×3_-¹⁺²	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₃²	36	6	C3^2.9C6^2	324,141
C₃².₁₀C₆² = C₂²×C₃²⋊C₉	central extension (φ=1)	108		C3^2.10C6^2	324,82
C₃².₁₁C₆² = C₂²×C₉⋊C₉	central extension (φ=1)	324		C3^2.11C6^2	324,83

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