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

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

		d	ρ	Label	ID
C₃²xC₆²		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 = C₆xC₃²:C₆	φ: C₆²/C₆ → C₆ ⊆ Aut C₃²	36	6	C3^2:C6^2	324,138
C₃²:₂C₆² = S₃²xC₃²	φ: C₆²/C₃² → C₂² ⊆ Aut C₃²	36		C3^2:2C6^2	324,165
C₃²:₃C₆² = C₂xC₆xHe₃	φ: C₆²/C₂xC₆ → C₃ ⊆ Aut C₃²	108		C3^2:3C6^2	324,152
C₃²:₄C₆² = S₃xC₃²xC₆	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₃²	108		C3^2:4C6^2	324,172
C₃²:₅C₆² = C₃:S₃xC₃xC₆	φ: C₆²/C₃xC₆ → 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 = C₂²xC₃wrC₃	φ: C₆²/C₂xC₆ → C₃ ⊆ Aut C₃²	36		C3^2.1C6^2	324,86
C₃².₂C₆² = C₂²xHe₃.C₃	φ: C₆²/C₂xC₆ → C₃ ⊆ Aut C₃²	108		C3^2.2C6^2	324,87
C₃².₃C₆² = C₂²xHe₃:C₃	φ: C₆²/C₂xC₆ → C₃ ⊆ Aut C₃²	108		C3^2.3C6^2	324,88
C₃².₄C₆² = C₂²xC₃.He₃	φ: C₆²/C₂xC₆ → C₃ ⊆ Aut C₃²	108		C3^2.4C6^2	324,89
C₃².₅C₆² = C₂xC₆x3_-¹⁺²	φ: C₆²/C₂xC₆ → C₃ ⊆ Aut C₃²	108		C3^2.5C6^2	324,153
C₃².₆C₆² = C₂²xC₉oHe₃	φ: C₆²/C₂xC₆ → C₃ ⊆ Aut C₃²	108		C3^2.6C6^2	324,154
C₃².₇C₆² = S₃xC₃xC₁₈	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₃²	108		C3^2.7C6^2	324,137
C₃².₈C₆² = C₂xS₃xHe₃	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₃²	36	6	C3^2.8C6^2	324,139
C₃².₉C₆² = C₂xS₃x3_-¹⁺²	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₃²	36	6	C3^2.9C6^2	324,141
C₃².₁₀C₆² = C₂²xC₃²:C₉	central extension (φ=1)	108		C3^2.10C6^2	324,82
C₃².₁₁C₆² = C₂²xC₉:C₉	central extension (φ=1)	324		C3^2.11C6^2	324,83

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