Extensions 1→N→G→Q→1 with N=C₂²xC₃²:C₆ and Q=C₂

Direct product G=NxQ with N=C₂²xC₃²:C₆ and Q=C₂

		d	ρ	Label	ID
C₂³xC₃²:C₆		72		C2^3xC3^2:C6	432,558

Semidirect products G=N:Q with N=C₂²xC₃²:C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xC₃²:C₆):₁C₂ = C₂xHe₃:₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₃²:C₆	72		(C2^2xC3^2:C6):1C2	432,320
(C₂²xC₃²:C₆):₂C₂ = C₂xHe₃:₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₃²:C₆	72		(C2^2xC3^2:C6):2C2	432,322
(C₂²xC₃²:C₆):₃C₂ = C₆²:D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₃²:C₆	36	12+	(C2^2xC3^2:C6):3C2	432,323
(C₂²xC₃²:C₆):₄C₂ = C₂xHe₃:₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₃²:C₆	72		(C2^2xC3^2:C6):4C2	432,350
(C₂²xC₃²:C₆):₅C₂ = D₄xC₃²:C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₃²:C₆	36	12+	(C2^2xC3^2:C6):5C2	432,360
(C₂²xC₃²:C₆):₆C₂ = C₂xHe₃:₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₃²:C₆	72		(C2^2xC3^2:C6):6C2	432,377
(C₂²xC₃²:C₆):₇C₂ = C₂²xC₃²:D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₃²:C₆	36		(C2^2xC3^2:C6):7C2	432,545

Non-split extensions G=N.Q with N=C₂²xC₃²:C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xC₃²:C₆).₁C₂ = C₆².₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₃²:C₆	72		(C2^2xC3^2:C6).1C2	432,97
(C₂²xC₃²:C₆).₂C₂ = C₆².₂₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₃²:C₆	72		(C2^2xC3^2:C6).2C2	432,141
(C₂²xC₃²:C₆).₃C₂ = C₂xC₆.S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₃²:C₆	72		(C2^2xC3^2:C6).3C2	432,317
(C₂²xC₃²:C₆).₄C₂ = C₂xC₄xC₃²:C₆	φ: trivial image	72		(C2^2xC3^2:C6).4C2	432,349

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