Extensions 1→N→G→Q→1 with N=C₆xC₁₂ and Q=C₆

Direct product G=NxQ with N=C₆xC₁₂ and Q=C₆

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

Semidirect products G=N:Q with N=C₆xC₁₂ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₆xC₁₂):₁C₆ = C₆².₂₁D₆	φ: C₆/C₁ → C₆ ⊆ Aut C₆xC₁₂	72		(C6xC12):1C6	432,141
(C₆xC₁₂):₂C₆ = C₂²:C₄xHe₃	φ: C₆/C₁ → C₆ ⊆ Aut C₆xC₁₂	72		(C6xC12):2C6	432,204
(C₆xC₁₂):₃C₆ = C₂xHe₃:₄D₄	φ: C₆/C₁ → C₆ ⊆ Aut C₆xC₁₂	72		(C6xC12):3C6	432,350
(C₆xC₁₂):₄C₆ = C₆².₃₆D₆	φ: C₆/C₁ → C₆ ⊆ Aut C₆xC₁₂	72	6	(C6xC12):4C6	432,351
(C₆xC₁₂):₅C₆ = C₂xC₄xC₃²:C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₆xC₁₂	72		(C6xC12):5C6	432,349
(C₆xC₁₂):₆C₆ = C₂xD₄xHe₃	φ: C₆/C₁ → C₆ ⊆ Aut C₆xC₁₂	72		(C6xC12):6C6	432,404
(C₆xC₁₂):₇C₆ = C₄oD₄xHe₃	φ: C₆/C₁ → C₆ ⊆ Aut C₆xC₁₂	72	6	(C6xC12):7C6	432,410
(C₆xC₁₂):₈C₆ = C₂²xC₄xHe₃	φ: C₆/C₂ → C₃ ⊆ Aut C₆xC₁₂	144		(C6xC12):8C6	432,401
(C₆xC₁₂):₉C₆ = C₃²xD₆:C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12):9C6	432,474
(C₆xC₁₂):₁₀C₆ = C₃xC₆.₁₁D₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12):10C6	432,490
(C₆xC₁₂):₁₁C₆ = C₂²:C₄xC₃³	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	216		(C6xC12):11C6	432,513
(C₆xC₁₂):₁₂C₆ = C₆xC₁₂:S₃	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12):12C6	432,712
(C₆xC₁₂):₁₃C₆ = C₃xC₁₂.₅₉D₆	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	72		(C6xC12):13C6	432,713
(C₆xC₁₂):₁₄C₆ = C₃²xC₄oD₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	72		(C6xC12):14C6	432,703
(C₆xC₁₂):₁₅C₆ = C₃xC₆xD₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12):15C6	432,702
(C₆xC₁₂):₁₆C₆ = S₃xC₆xC₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12):16C6	432,701
(C₆xC₁₂):₁₇C₆ = C₃:S₃xC₂xC₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12):17C6	432,711
(C₆xC₁₂):₁₈C₆ = D₄xC₃²xC₆	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	216		(C6xC12):18C6	432,731
(C₆xC₁₂):₁₉C₆ = C₄oD₄xC₃³	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	216		(C6xC12):19C6	432,733

Non-split extensions G=N.Q with N=C₆xC₁₂ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₆xC₁₂).₁C₆ = C₆².₁₉D₆	φ: C₆/C₁ → C₆ ⊆ Aut C₆xC₁₂	144		(C6xC12).1C6	432,139
(C₆xC₁₂).₂C₆ = C₂²:C₄x3_-¹⁺²	φ: C₆/C₁ → C₆ ⊆ Aut C₆xC₁₂	72		(C6xC12).2C6	432,205
(C₆xC₁₂).₃C₆ = C₄:C₄xHe₃	φ: C₆/C₁ → C₆ ⊆ Aut C₆xC₁₂	144		(C6xC12).3C6	432,207
(C₆xC₁₂).₄C₆ = C₄:C₄x3_-¹⁺²	φ: C₆/C₁ → C₆ ⊆ Aut C₆xC₁₂	144		(C6xC12).4C6	432,208
(C₆xC₁₂).₅C₆ = C₆².₂₀D₆	φ: C₆/C₁ → C₆ ⊆ Aut C₆xC₁₂	144		(C6xC12).5C6	432,140
(C₆xC₁₂).₆C₆ = C₂xHe₃:₃Q₈	φ: C₆/C₁ → C₆ ⊆ Aut C₆xC₁₂	144		(C6xC12).6C6	432,348
(C₆xC₁₂).₇C₆ = He₃:₇M₄(2)	φ: C₆/C₁ → C₆ ⊆ Aut C₆xC₁₂	72	6	(C6xC12).7C6	432,137
(C₆xC₁₂).₈C₆ = C₂xHe₃:₃C₈	φ: C₆/C₁ → C₆ ⊆ Aut C₆xC₁₂	144		(C6xC12).8C6	432,136
(C₆xC₁₂).₉C₆ = C₄xC₃²:C₁₂	φ: C₆/C₁ → C₆ ⊆ Aut C₆xC₁₂	144		(C6xC12).9C6	432,138
(C₆xC₁₂).₁₀C₆ = M₄(2)xHe₃	φ: C₆/C₁ → C₆ ⊆ Aut C₆xC₁₂	72	6	(C6xC12).10C6	432,213
(C₆xC₁₂).₁₁C₆ = M₄(2)x3_-¹⁺²	φ: C₆/C₁ → C₆ ⊆ Aut C₆xC₁₂	72	6	(C6xC12).11C6	432,214
(C₆xC₁₂).₁₂C₆ = C₂xD₄x3_-¹⁺²	φ: C₆/C₁ → C₆ ⊆ Aut C₆xC₁₂	72		(C6xC12).12C6	432,405
(C₆xC₁₂).₁₃C₆ = C₂xQ₈xHe₃	φ: C₆/C₁ → C₆ ⊆ Aut C₆xC₁₂	144		(C6xC12).13C6	432,407
(C₆xC₁₂).₁₄C₆ = C₂xQ₈x3_-¹⁺²	φ: C₆/C₁ → C₆ ⊆ Aut C₆xC₁₂	144		(C6xC12).14C6	432,408
(C₆xC₁₂).₁₅C₆ = C₄oD₄x3_-¹⁺²	φ: C₆/C₁ → C₆ ⊆ Aut C₆xC₁₂	72	6	(C6xC12).15C6	432,411
(C₆xC₁₂).₁₆C₆ = C₄²xHe₃	φ: C₆/C₂ → C₃ ⊆ Aut C₆xC₁₂	144		(C6xC12).16C6	432,201
(C₆xC₁₂).₁₇C₆ = C₄²x3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Aut C₆xC₁₂	144		(C6xC12).17C6	432,202
(C₆xC₁₂).₁₈C₆ = C₂xC₈xHe₃	φ: C₆/C₂ → C₃ ⊆ Aut C₆xC₁₂	144		(C6xC12).18C6	432,210
(C₆xC₁₂).₁₉C₆ = C₂xC₈x3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Aut C₆xC₁₂	144		(C6xC12).19C6	432,211
(C₆xC₁₂).₂₀C₆ = C₂²xC₄x3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Aut C₆xC₁₂	144		(C6xC12).20C6	432,402
(C₆xC₁₂).₂₁C₆ = C₉xDic₃:C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12).21C6	432,132
(C₆xC₁₂).₂₂C₆ = C₉xD₆:C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12).22C6	432,135
(C₆xC₁₂).₂₃C₆ = C₂²:C₄xC₃xC₉	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	216		(C6xC12).23C6	432,203
(C₆xC₁₂).₂₄C₆ = C₄:C₄xC₃xC₉	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	432		(C6xC12).24C6	432,206
(C₆xC₁₂).₂₅C₆ = C₃²xDic₃:C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12).25C6	432,472
(C₆xC₁₂).₂₆C₆ = C₃xC₆.Dic₆	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12).26C6	432,488
(C₆xC₁₂).₂₇C₆ = C₄:C₄xC₃³	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	432		(C6xC12).27C6	432,514
(C₆xC₁₂).₂₈C₆ = C₃xC₁₂:Dic₃	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12).28C6	432,489
(C₆xC₁₂).₂₉C₆ = C₆xC₃²:₄Q₈	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12).29C6	432,710
(C₆xC₁₂).₃₀C₆ = C₃xC₁₂.₅₈D₆	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	72		(C6xC12).30C6	432,486
(C₆xC₁₂).₃₁C₆ = C₉xC₄.Dic₃	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	72	2	(C6xC12).31C6	432,127
(C₆xC₁₂).₃₂C₆ = C₉xC₄oD₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	72	2	(C6xC12).32C6	432,347
(C₆xC₁₂).₃₃C₆ = C₃²xC₄.Dic₃	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	72		(C6xC12).33C6	432,470
(C₆xC₁₂).₃₄C₆ = C₉xC₄:Dic₃	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12).34C6	432,133
(C₆xC₁₂).₃₅C₆ = C₁₈xDic₆	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12).35C6	432,341
(C₆xC₁₂).₃₆C₆ = C₁₈xD₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12).36C6	432,346
(C₆xC₁₂).₃₇C₆ = C₃²xC₄:Dic₃	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12).37C6	432,473
(C₆xC₁₂).₃₈C₆ = C₃xC₆xDic₆	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12).38C6	432,700
(C₆xC₁₂).₃₉C₆ = C₁₈xC₃:C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12).39C6	432,126
(C₆xC₁₂).₄₀C₆ = Dic₃xC₃₆	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12).40C6	432,131
(C₆xC₁₂).₄₁C₆ = S₃xC₂xC₃₆	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12).41C6	432,345
(C₆xC₁₂).₄₂C₆ = C₃xC₆xC₃:C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12).42C6	432,469
(C₆xC₁₂).₄₃C₆ = Dic₃xC₃xC₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12).43C6	432,471
(C₆xC₁₂).₄₄C₆ = C₆xC₃²:₄C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12).44C6	432,485
(C₆xC₁₂).₄₅C₆ = C₁₂xC₃:Dic₃	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	144		(C6xC12).45C6	432,487
(C₆xC₁₂).₄₆C₆ = M₄(2)xC₃xC₉	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	216		(C6xC12).46C6	432,212
(C₆xC₁₂).₄₇C₆ = D₄xC₃xC₁₈	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	216		(C6xC12).47C6	432,403
(C₆xC₁₂).₄₈C₆ = Q₈xC₃xC₁₈	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	432		(C6xC12).48C6	432,406
(C₆xC₁₂).₄₉C₆ = C₄oD₄xC₃xC₉	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	216		(C6xC12).49C6	432,409
(C₆xC₁₂).₅₀C₆ = M₄(2)xC₃³	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	216		(C6xC12).50C6	432,516
(C₆xC₁₂).₅₁C₆ = Q₈xC₃²xC₆	φ: C₆/C₃ → C₂ ⊆ Aut C₆xC₁₂	432		(C6xC12).51C6	432,732

Extensions 1→N→G→Q→1 with N=C6xC12 and Q=C6

Extensions 1→N→G→Q→1 with N=C₆xC₁₂ and Q=C₆