Extensions 1→N→G→Q→1 with N=C₃xC₆² and Q=C₂

Direct product G=NxQ with N=C₃xC₆² and Q=C₂

		d	ρ	Label	ID
C₆³		216		C6^3	216,177

Semidirect products G=N:Q with N=C₃xC₆² and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆²):₁C₂ = D₄xC₃³	φ: C₂/C₁ → C₂ ⊆ Aut C₃xC₆²	108		(C3xC6^2):1C2	216,151
(C₃xC₆²):₂C₂ = C₃²xC₃:D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₃xC₆²	36		(C3xC6^2):2C2	216,139
(C₃xC₆²):₃C₂ = C₃xC₃²:₇D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₃xC₆²	36		(C3xC6^2):3C2	216,144
(C₃xC₆²):₄C₂ = C₃³:₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₃xC₆²	108		(C3xC6^2):4C2	216,149
(C₃xC₆²):₅C₂ = S₃xC₆²	φ: C₂/C₁ → C₂ ⊆ Aut C₃xC₆²	72		(C3xC6^2):5C2	216,174
(C₃xC₆²):₆C₂ = C₂xC₆xC₃:S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃xC₆²	72		(C3xC6^2):6C2	216,175
(C₃xC₆²):₇C₂ = C₂²xC₃³:C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₃xC₆²	108		(C3xC6^2):7C2	216,176

Non-split extensions G=N.Q with N=C₃xC₆² and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆²).₁C₂ = Dic₃xC₃xC₆	φ: C₂/C₁ → C₂ ⊆ Aut C₃xC₆²	72		(C3xC6^2).1C2	216,138
(C₃xC₆²).₂C₂ = C₆xC₃:Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃xC₆²	72		(C3xC6^2).2C2	216,143
(C₃xC₆²).₃C₂ = C₂xC₃³:₅C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₃xC₆²	216		(C3xC6^2).3C2	216,148

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