Extensions 1→N→G→Q→1 with N=C₂xC₃²:C₆ and Q=C₂²

Direct product G=NxQ with N=C₂xC₃²:C₆ and Q=C₂²

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

Semidirect products G=N:Q with N=C₂xC₃²:C₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃²:C₆):₁C₂² = C₃:S₃:D₁₂	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₃²:C₆	36	12+	(C2xC3^2:C6):1C2^2	432,301
(C₂xC₃²:C₆):₂C₂² = C₁₂.₈₆S₃²	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₃²:C₆	36	6+	(C2xC3^2:C6):2C2^2	432,302
(C₂xC₃²:C₆):₃C₂² = C₆²:₂D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₃²:C₆	36	6	(C2xC3^2:C6):3C2^2	432,324
(C₂xC₃²:C₆):₄C₂² = C₂xHe₃:₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃²:C₆	72		(C2xC3^2:C6):4C2^2	432,320
(C₂xC₃²:C₆):₅C₂² = C₂xHe₃:₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃²:C₆	72		(C2xC3^2:C6):5C2^2	432,322
(C₂xC₃²:C₆):₆C₂² = C₆²:D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃²:C₆	36	12+	(C2xC3^2:C6):6C2^2	432,323
(C₂xC₃²:C₆):₇C₂² = C₂xHe₃:₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃²:C₆	72		(C2xC3^2:C6):7C2^2	432,350
(C₂xC₃²:C₆):₈C₂² = D₄xC₃²:C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃²:C₆	36	12+	(C2xC3^2:C6):8C2^2	432,360
(C₂xC₃²:C₆):₉C₂² = C₂xHe₃:₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃²:C₆	72		(C2xC3^2:C6):9C2^2	432,377
(C₂xC₃²:C₆):₁₀C₂² = C₂²xC₃²:D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃²:C₆	36		(C2xC3^2:C6):10C2^2	432,545

Non-split extensions G=N.Q with N=C₂xC₃²:C₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃²:C₆).₁C₂² = C₁₂.₈₄S₃²	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₃²:C₆	72	6	(C2xC3^2:C6).1C2^2	432,296
(C₂xC₃²:C₆).₂C₂² = C₆².₈D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₃²:C₆	72	12-	(C2xC3^2:C6).2C2^2	432,318
(C₂xC₃²:C₆).₃C₂² = C₆².₉D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂xC₃²:C₆	72	6	(C2xC3^2:C6).3C2^2	432,319
(C₂xC₃²:C₆).₄C₂² = C₃:S₃:Dic₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃²:C₆	72	12-	(C2xC3^2:C6).4C2^2	432,294
(C₂xC₃²:C₆).₅C₂² = C₁₂:S₃:S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃²:C₆	72	12+	(C2xC3^2:C6).5C2^2	432,295
(C₂xC₃²:C₆).₆C₂² = C₁₂.₉₁S₃²	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃²:C₆	72	6	(C2xC3^2:C6).6C2^2	432,297
(C₂xC₃²:C₆).₇C₂² = C₁₂.S₃²	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃²:C₆	72	12-	(C2xC3^2:C6).7C2^2	432,299
(C₂xC₃²:C₆).₈C₂² = C₄xC₃²:D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃²:C₆	36	6	(C2xC3^2:C6).8C2^2	432,300
(C₂xC₃²:C₆).₉C₂² = C₂xC₆.S₃²	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃²:C₆	72		(C2xC3^2:C6).9C2^2	432,317
(C₂xC₃²:C₆).₁₀C₂² = C₆².₃₆D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃²:C₆	72	6	(C2xC3^2:C6).10C2^2	432,351
(C₂xC₃²:C₆).₁₁C₂² = C₆².₁₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃²:C₆	72	12-	(C2xC3^2:C6).11C2^2	432,361
(C₂xC₃²:C₆).₁₂C₂² = (Q₈xHe₃):C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃²:C₆	72	12+	(C2xC3^2:C6).12C2^2	432,369
(C₂xC₃²:C₆).₁₃C₂² = C₂xC₄xC₃²:C₆	φ: trivial image	72		(C2xC3^2:C6).13C2^2	432,349
(C₂xC₃²:C₆).₁₄C₂² = Q₈xC₃²:C₆	φ: trivial image	72	12-	(C2xC3^2:C6).14C2^2	432,368

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