Extensions 1→N→G→Q→1 with N=C₂xC₆ and Q=C₃xC₁₂

Direct product G=NxQ with N=C₂xC₆ and Q=C₃xC₁₂

		d	ρ	Label	ID
C₆²xC₁₂		432		C6^2xC12	432,730

Semidirect products G=N:Q with N=C₂xC₆ and Q=C₃xC₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆):(C₃xC₁₂) = C₃xDic₃xA₄	φ: C₃xC₁₂/C₆ → C₆ ⊆ Aut C₂xC₆	36	6	(C2xC6):(C3xC12)	432,624
(C₂xC₆):₂(C₃xC₁₂) = A₄xC₃xC₁₂	φ: C₃xC₁₂/C₁₂ → C₃ ⊆ Aut C₂xC₆	108		(C2xC6):2(C3xC12)	432,697
(C₂xC₆):₃(C₃xC₁₂) = C₂²:C₄xC₃³	φ: C₃xC₁₂/C₃xC₆ → C₂ ⊆ Aut C₂xC₆	216		(C2xC6):3(C3xC12)	432,513
(C₂xC₆):₄(C₃xC₁₂) = C₃²xC₆.D₄	φ: C₃xC₁₂/C₃xC₆ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6):4(C3xC12)	432,479
(C₂xC₆):₅(C₃xC₁₂) = Dic₃xC₆²	φ: C₃xC₁₂/C₃xC₆ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6):5(C3xC12)	432,708

Non-split extensions G=N.Q with N=C₂xC₆ and Q=C₃xC₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆).₁(C₃xC₁₂) = A₄xC₃₆	φ: C₃xC₁₂/C₁₂ → C₃ ⊆ Aut C₂xC₆	108	3	(C2xC6).1(C3xC12)	432,325
(C₂xC₆).₂(C₃xC₁₂) = C₄xC₉:A₄	φ: C₃xC₁₂/C₁₂ → C₃ ⊆ Aut C₂xC₆	108	3	(C2xC6).2(C3xC12)	432,326
(C₂xC₆).₃(C₃xC₁₂) = C₁₂xC₃.A₄	φ: C₃xC₁₂/C₁₂ → C₃ ⊆ Aut C₂xC₆	108		(C2xC6).3(C3xC12)	432,331
(C₂xC₆).₄(C₃xC₁₂) = C₄xC₃².A₄	φ: C₃xC₁₂/C₁₂ → C₃ ⊆ Aut C₂xC₆	36	3	(C2xC6).4(C3xC12)	432,332
(C₂xC₆).₅(C₃xC₁₂) = C₄xC₃²:A₄	φ: C₃xC₁₂/C₁₂ → C₃ ⊆ Aut C₂xC₆	36	3	(C2xC6).5(C3xC12)	432,333
(C₂xC₆).₆(C₃xC₁₂) = C₂²:C₄xC₃xC₉	φ: C₃xC₁₂/C₃xC₆ → C₂ ⊆ Aut C₂xC₆	216		(C2xC6).6(C3xC12)	432,203
(C₂xC₆).₇(C₃xC₁₂) = C₂²:C₄xHe₃	φ: C₃xC₁₂/C₃xC₆ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6).7(C3xC12)	432,204
(C₂xC₆).₈(C₃xC₁₂) = C₂²:C₄x3_-¹⁺²	φ: C₃xC₁₂/C₃xC₆ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6).8(C3xC12)	432,205
(C₂xC₆).₉(C₃xC₁₂) = M₄(2)xC₃xC₉	φ: C₃xC₁₂/C₃xC₆ → C₂ ⊆ Aut C₂xC₆	216		(C2xC6).9(C3xC12)	432,212
(C₂xC₆).₁₀(C₃xC₁₂) = M₄(2)xHe₃	φ: C₃xC₁₂/C₃xC₆ → C₂ ⊆ Aut C₂xC₆	72	6	(C2xC6).10(C3xC12)	432,213
(C₂xC₆).₁₁(C₃xC₁₂) = M₄(2)x3_-¹⁺²	φ: C₃xC₁₂/C₃xC₆ → C₂ ⊆ Aut C₂xC₆	72	6	(C2xC6).11(C3xC12)	432,214
(C₂xC₆).₁₂(C₃xC₁₂) = M₄(2)xC₃³	φ: C₃xC₁₂/C₃xC₆ → C₂ ⊆ Aut C₂xC₆	216		(C2xC6).12(C3xC12)	432,516
(C₂xC₆).₁₃(C₃xC₁₂) = C₃xC₆xC₃:C₈	φ: C₃xC₁₂/C₃xC₆ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).13(C3xC12)	432,469
(C₂xC₆).₁₄(C₃xC₁₂) = C₃²xC₄.Dic₃	φ: C₃xC₁₂/C₃xC₆ → C₂ ⊆ Aut C₂xC₆	72		(C2xC6).14(C3xC12)	432,470
(C₂xC₆).₁₅(C₃xC₁₂) = C₂xC₈xHe₃	central extension (φ=1)	144		(C2xC6).15(C3xC12)	432,210
(C₂xC₆).₁₆(C₃xC₁₂) = C₂xC₈x3_-¹⁺²	central extension (φ=1)	144		(C2xC6).16(C3xC12)	432,211
(C₂xC₆).₁₇(C₃xC₁₂) = C₂²xC₄xHe₃	central extension (φ=1)	144		(C2xC6).17(C3xC12)	432,401
(C₂xC₆).₁₈(C₃xC₁₂) = C₂²xC₄x3_-¹⁺²	central extension (φ=1)	144		(C2xC6).18(C3xC12)	432,402

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