Extensions 1→N→G→Q→1 with N=C₆² and Q=C₆

Direct product G=NxQ with N=C₆² and Q=C₆

		d	ρ	Label	ID
C₆³		216		C6^3	216,177

Semidirect products G=N:Q with N=C₆² and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆²:₁C₆ = D₄xHe₃	φ: C₆/C₁ → C₆ ⊆ Aut C₆²	36	6	C6^2:1C6	216,77
C₆²:₂C₆ = He₃:₆D₄	φ: C₆/C₁ → C₆ ⊆ Aut C₆²	36	6	C6^2:2C6	216,60
C₆²:₃C₆ = C₆²:C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₆²	18	6+	C6^2:3C6	216,99
C₆²:₄C₆ = C₂²xC₃²:C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₆²	36		C6^2:4C6	216,110
C₆²:₅C₆ = C₃xS₃xA₄	φ: C₆/C₁ → C₆ ⊆ Aut C₆²	24	6	C6^2:5C6	216,166
C₆²:₆C₆ = A₄xC₃:S₃	φ: C₆/C₁ → C₆ ⊆ Aut C₆²	36		C6^2:6C6	216,167
C₆²:₇C₆ = C₂xC₃²:A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₆²	18	3	C6^2:7C6	216,107
C₆²:₈C₆ = C₂³xHe₃	φ: C₆/C₂ → C₃ ⊆ Aut C₆²	72		C6^2:8C6	216,115
C₆²:₉C₆ = A₄xC₃xC₆	φ: C₆/C₂ → C₃ ⊆ Aut C₆²	54		C6^2:9C6	216,173
C₆²:₁₀C₆ = D₄xC₃³	φ: C₆/C₃ → C₂ ⊆ Aut C₆²	108		C6^2:10C6	216,151
C₆²:₁₁C₆ = C₃²xC₃:D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₆²	36		C6^2:11C6	216,139
C₆²:₁₂C₆ = C₃xC₃²:₇D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₆²	36		C6^2:12C6	216,144
C₆²:₁₃C₆ = S₃xC₆²	φ: C₆/C₃ → C₂ ⊆ Aut C₆²	72		C6^2:13C6	216,174
C₆²:₁₄C₆ = C₂xC₆xC₃:S₃	φ: C₆/C₃ → C₂ ⊆ Aut C₆²	72		C6^2:14C6	216,175

Non-split extensions G=N.Q with N=C₆² and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆².₁C₆ = D₄x3_-¹⁺²	φ: C₆/C₁ → C₆ ⊆ Aut C₆²	36	6	C6^2.1C6	216,78
C₆².₂C₆ = C₂xC₃²:C₁₂	φ: C₆/C₁ → C₆ ⊆ Aut C₆²	72		C6^2.2C6	216,59
C₆².₃C₆ = S₃xC₃.A₄	φ: C₆/C₁ → C₆ ⊆ Aut C₆²	36	6	C6^2.3C6	216,98
C₆².₄C₆ = C₂xC₄xHe₃	φ: C₆/C₂ → C₃ ⊆ Aut C₆²	72		C6^2.4C6	216,74
C₆².₅C₆ = C₂xC₄x3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Aut C₆²	72		C6^2.5C6	216,75
C₆².₆C₆ = C₆xC₃.A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₆²	54		C6^2.6C6	216,105
C₆².₇C₆ = C₂xC₃².A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₆²	18	3	C6^2.7C6	216,106
C₆².₈C₆ = C₂³x3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Aut C₆²	72		C6^2.8C6	216,116
C₆².₉C₆ = D₄xC₃xC₉	φ: C₆/C₃ → C₂ ⊆ Aut C₆²	108		C6^2.9C6	216,76
C₆².₁₀C₆ = Dic₃xC₁₈	φ: C₆/C₃ → C₂ ⊆ Aut C₆²	72		C6^2.10C6	216,56
C₆².₁₁C₆ = C₉xC₃:D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₆²	36	2	C6^2.11C6	216,58
C₆².₁₂C₆ = S₃xC₂xC₁₈	φ: C₆/C₃ → C₂ ⊆ Aut C₆²	72		C6^2.12C6	216,109
C₆².₁₃C₆ = Dic₃xC₃xC₆	φ: C₆/C₃ → C₂ ⊆ Aut C₆²	72		C6^2.13C6	216,138
C₆².₁₄C₆ = C₆xC₃:Dic₃	φ: C₆/C₃ → C₂ ⊆ Aut C₆²	72		C6^2.14C6	216,143

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