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

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

		d	ρ	Label	ID
C₆³		216		C6^3	216,177

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:C₆² = S₃xC₆²	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₆	72		C6:C6^2	216,174

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁C₆² = C₃²xDic₆	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₆	72		C6.1C6^2	216,135
C₆.₂C₆² = S₃xC₃xC₁₂	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₆	72		C6.2C6^2	216,136
C₆.₃C₆² = C₃²xD₁₂	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₆	72		C6.3C6^2	216,137
C₆.₄C₆² = Dic₃xC₃xC₆	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₆	72		C6.4C6^2	216,138
C₆.₅C₆² = C₃²xC₃:D₄	φ: C₆²/C₃xC₆ → C₂ ⊆ Aut C₆	36		C6.5C6^2	216,139
C₆.₆C₆² = C₂xC₄xHe₃	central extension (φ=1)	72		C6.6C6^2	216,74
C₆.₇C₆² = C₂xC₄x3_-¹⁺²	central extension (φ=1)	72		C6.7C6^2	216,75
C₆.₈C₆² = D₄xC₃xC₉	central extension (φ=1)	108		C6.8C6^2	216,76
C₆.₉C₆² = Q₈xC₃xC₉	central extension (φ=1)	216		C6.9C6^2	216,79
C₆.₁₀C₆² = C₂³xHe₃	central extension (φ=1)	72		C6.10C6^2	216,115
C₆.₁₁C₆² = C₂³x3_-¹⁺²	central extension (φ=1)	72		C6.11C6^2	216,116
C₆.₁₂C₆² = D₄xC₃³	central extension (φ=1)	108		C6.12C6^2	216,151
C₆.₁₃C₆² = Q₈xC₃³	central extension (φ=1)	216		C6.13C6^2	216,152
C₆.₁₄C₆² = D₄xHe₃	central stem extension (φ=1)	36	6	C6.14C6^2	216,77
C₆.₁₅C₆² = D₄x3_-¹⁺²	central stem extension (φ=1)	36	6	C6.15C6^2	216,78
C₆.₁₆C₆² = Q₈xHe₃	central stem extension (φ=1)	72	6	C6.16C6^2	216,80
C₆.₁₇C₆² = Q₈x3_-¹⁺²	central stem extension (φ=1)	72	6	C6.17C6^2	216,81

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