Extensions 1→N→G→Q→1 with N=C₂xC₆ and Q=C₃xA₄

Direct product G=NxQ with N=C₂xC₆ and Q=C₃xA₄

		d	ρ	Label	ID
A₄xC₆²		108		A4xC6^2	432,770

Semidirect products G=N:Q with N=C₂xC₆ and Q=C₃xA₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆):₁(C₃xA₄) = C₃xA₄²	φ: C₃xA₄/A₄ → C₃ ⊆ Aut C₂xC₆	36	9	(C2xC6):1(C3xA4)	432,750
(C₂xC₆):₂(C₃xA₄) = C₃²xC₂²:A₄	φ: C₃xA₄/C₂xC₆ → C₃ ⊆ Aut C₂xC₆	108		(C2xC6):2(C3xA4)	432,771

Non-split extensions G=N.Q with N=C₂xC₆ and Q=C₃xA₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆).₁(C₃xA₄) = A₄xC₃.A₄	φ: C₃xA₄/A₄ → C₃ ⊆ Aut C₂xC₆	54	9	(C2xC6).1(C3xA4)	432,524
(C₂xC₆).₂(C₃xA₄) = C₃.A₄²	φ: C₃xA₄/A₄ → C₃ ⊆ Aut C₂xC₆	36	9	(C2xC6).2(C3xA4)	432,525
(C₂xC₆).₃(C₃xA₄) = C₂⁴:He₃	φ: C₃xA₄/A₄ → C₃ ⊆ Aut C₂xC₆	36	9	(C2xC6).3(C3xA4)	432,526
(C₂xC₆).₄(C₃xA₄) = C₂⁴:3_-¹⁺²	φ: C₃xA₄/A₄ → C₃ ⊆ Aut C₂xC₆	54	9	(C2xC6).4(C3xA4)	432,527
(C₂xC₆).₅(C₃xA₄) = C₂⁴:₂3_-¹⁺²	φ: C₃xA₄/A₄ → C₃ ⊆ Aut C₂xC₆	36	9	(C2xC6).5(C3xA4)	432,528
(C₂xC₆).₆(C₃xA₄) = C₉xC₄²:C₃	φ: C₃xA₄/C₂xC₆ → C₃ ⊆ Aut C₂xC₆	108	3	(C2xC6).6(C3xA4)	432,99
(C₂xC₆).₇(C₃xA₄) = C₄²:3_-¹⁺²	φ: C₃xA₄/C₂xC₆ → C₃ ⊆ Aut C₂xC₆	108	3	(C2xC6).7(C3xA4)	432,100
(C₂xC₆).₈(C₃xA₄) = C₃xC₄²:C₉	φ: C₃xA₄/C₂xC₆ → C₃ ⊆ Aut C₂xC₆	108		(C2xC6).8(C3xA4)	432,101
(C₂xC₆).₉(C₃xA₄) = C₁₂².C₃	φ: C₃xA₄/C₂xC₆ → C₃ ⊆ Aut C₂xC₆	36	3	(C2xC6).9(C3xA4)	432,102
(C₂xC₆).₁₀(C₃xA₄) = C₄²:He₃	φ: C₃xA₄/C₂xC₆ → C₃ ⊆ Aut C₂xC₆	36	3	(C2xC6).10(C3xA4)	432,103
(C₂xC₆).₁₁(C₃xA₄) = C₃²xC₄²:C₃	φ: C₃xA₄/C₂xC₆ → C₃ ⊆ Aut C₂xC₆	108		(C2xC6).11(C3xA4)	432,463
(C₂xC₆).₁₂(C₃xA₄) = C₉xC₂²:A₄	φ: C₃xA₄/C₂xC₆ → C₃ ⊆ Aut C₂xC₆	108		(C2xC6).12(C3xA4)	432,551
(C₂xC₆).₁₃(C₃xA₄) = C₂⁴:₄3_-¹⁺²	φ: C₃xA₄/C₂xC₆ → C₃ ⊆ Aut C₂xC₆	108		(C2xC6).13(C3xA4)	432,552
(C₂xC₆).₁₄(C₃xA₄) = C₃xC₂⁴:C₉	φ: C₃xA₄/C₂xC₆ → C₃ ⊆ Aut C₂xC₆	108		(C2xC6).14(C3xA4)	432,553
(C₂xC₆).₁₅(C₃xA₄) = C₆².A₄	φ: C₃xA₄/C₂xC₆ → C₃ ⊆ Aut C₂xC₆	36		(C2xC6).15(C3xA4)	432,554
(C₂xC₆).₁₆(C₃xA₄) = C₆²:A₄	φ: C₃xA₄/C₂xC₆ → C₃ ⊆ Aut C₂xC₆	36		(C2xC6).16(C3xA4)	432,555
(C₂xC₆).₁₇(C₃xA₄) = C₁₈xSL₂(F₃)	central extension (φ=1)	144		(C2xC6).17(C3xA4)	432,327
(C₂xC₆).₁₈(C₃xA₄) = C₂xC₁₈.A₄	central extension (φ=1)	144		(C2xC6).18(C3xA4)	432,328
(C₂xC₆).₁₉(C₃xA₄) = C₆xQ₈:C₉	central extension (φ=1)	432		(C2xC6).19(C3xA4)	432,334
(C₂xC₆).₂₀(C₃xA₄) = C₂xQ₈:3_-¹⁺²	central extension (φ=1)	144		(C2xC6).20(C3xA4)	432,335
(C₂xC₆).₂₁(C₃xA₄) = C₂xQ₈:He₃	central extension (φ=1)	144		(C2xC6).21(C3xA4)	432,336
(C₂xC₆).₂₂(C₃xA₄) = A₄xC₂xC₁₈	central extension (φ=1)	108		(C2xC6).22(C3xA4)	432,546
(C₂xC₆).₂₃(C₃xA₄) = C₂²xC₉:A₄	central extension (φ=1)	108		(C2xC6).23(C3xA4)	432,547
(C₂xC₆).₂₄(C₃xA₄) = C₂xC₆xC₃.A₄	central extension (φ=1)	108		(C2xC6).24(C3xA4)	432,548
(C₂xC₆).₂₅(C₃xA₄) = C₂²xC₃².A₄	central extension (φ=1)	36		(C2xC6).25(C3xA4)	432,549
(C₂xC₆).₂₆(C₃xA₄) = C₂²xC₃²:A₄	central extension (φ=1)	36		(C2xC6).26(C3xA4)	432,550
(C₂xC₆).₂₇(C₃xA₄) = C₃xC₆xSL₂(F₃)	central extension (φ=1)	144		(C2xC6).27(C3xA4)	432,698

Extensions 1→N→G→Q→1 with N=C2xC6 and Q=C3xA4

Extensions 1→N→G→Q→1 with N=C₂xC₆ and Q=C₃xA₄