Extensions 1→N→G→Q→1 with N=C₆xC₃:S₃ and Q=C₂

Direct product G=NxQ with N=C₆xC₃:S₃ and Q=C₂

		d	ρ	Label	ID
C₂xC₆xC₃:S₃		72		C2xC6xC3:S3	216,175

Semidirect products G=N:Q with N=C₆xC₃:S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xC₃:S₃):₁C₂ = C₃xC₃:D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:S₃	24	4	(C6xC3:S3):1C2	216,122
(C₆xC₃:S₃):₂C₂ = C₃³:₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:S₃	72		(C6xC3:S3):2C2	216,127
(C₆xC₃:S₃):₃C₂ = C₃³:₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:S₃	36		(C6xC3:S3):3C2	216,129
(C₆xC₃:S₃):₄C₂ = C₃³:₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:S₃	24	4	(C6xC3:S3):4C2	216,132
(C₆xC₃:S₃):₅C₂ = C₃xC₁₂:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:S₃	72		(C6xC3:S3):5C2	216,142
(C₆xC₃:S₃):₆C₂ = C₃xC₃²:₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:S₃	36		(C6xC3:S3):6C2	216,144
(C₆xC₃:S₃):₇C₂ = S₃²xC₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:S₃	24	4	(C6xC3:S3):7C2	216,170
(C₆xC₃:S₃):₈C₂ = C₂xS₃xC₃:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:S₃	36		(C6xC3:S3):8C2	216,171
(C₆xC₃:S₃):₉C₂ = C₂xC₃²:₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:S₃	24	4	(C6xC3:S3):9C2	216,172

Non-split extensions G=N.Q with N=C₆xC₃:S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xC₃:S₃).₁C₂ = C₃xC₆.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:S₃	24	4	(C6xC3:S3).1C2	216,120
(C₆xC₃:S₃).₂C₂ = Dic₃xC₃:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:S₃	72		(C6xC3:S3).2C2	216,125
(C₆xC₃:S₃).₃C₂ = C₃³:₉(C₂xC₄)	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:S₃	24	4	(C6xC3:S3).3C2	216,131
(C₆xC₃:S₃).₄C₂ = C₆xC₃²:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:S₃	24	4	(C6xC3:S3).4C2	216,168
(C₆xC₃:S₃).₅C₂ = C₂xC₃³:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:S₃	24	4	(C6xC3:S3).5C2	216,169
(C₆xC₃:S₃).₆C₂ = C₁₂xC₃:S₃	φ: trivial image	72		(C6xC3:S3).6C2	216,141

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