Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=C₂²:C₄

Direct product G=NxQ with N=C₃xC₆ and Q=C₂²:C₄

		d	ρ	Label	ID
C₂²:C₄xC₃xC₆		144		C2^2:C4xC3xC6	288,812

Semidirect products G=N:Q with N=C₃xC₆ and Q=C₂²:C₄

extension	φ:Q→Aut N	d	Label	ID
(C₃xC₆):(C₂²:C₄) = C₂xS₃²:C₄	φ: C₂²:C₄/C₂ → D₄ ⊆ Aut C₃xC₆	24	(C3xC6):(C2^2:C4)	288,880
(C₃xC₆):₂(C₂²:C₄) = C₂xC₆²:C₄	φ: C₂²:C₄/C₂² → C₄ ⊆ Aut C₃xC₆	24	(C3xC6):2(C2^2:C4)	288,941
(C₃xC₆):₃(C₂²:C₄) = C₂xD₆:Dic₃	φ: C₂²:C₄/C₂² → C₂² ⊆ Aut C₃xC₆	96	(C3xC6):3(C2^2:C4)	288,608
(C₃xC₆):₄(C₂²:C₄) = C₂xC₆.D₁₂	φ: C₂²:C₄/C₂² → C₂² ⊆ Aut C₃xC₆	48	(C3xC6):4(C2^2:C4)	288,611
(C₃xC₆):₅(C₂²:C₄) = C₆xD₆:C₄	φ: C₂²:C₄/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	96	(C3xC6):5(C2^2:C4)	288,698
(C₃xC₆):₆(C₂²:C₄) = C₂xC₆.₁₁D₁₂	φ: C₂²:C₄/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	144	(C3xC6):6(C2^2:C4)	288,784
(C₃xC₆):₇(C₂²:C₄) = C₆xC₆.D₄	φ: C₂²:C₄/C₂³ → C₂ ⊆ Aut C₃xC₆	48	(C3xC6):7(C2^2:C4)	288,723
(C₃xC₆):₈(C₂²:C₄) = C₂xC₆²:₅C₄	φ: C₂²:C₄/C₂³ → C₂ ⊆ Aut C₃xC₆	144	(C3xC6):8(C2^2:C4)	288,809

Non-split extensions G=N.Q with N=C₃xC₆ and Q=C₂²:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆).₁(C₂²:C₄) = S₃²:C₈	φ: C₂²:C₄/C₂ → D₄ ⊆ Aut C₃xC₆	24	4	(C3xC6).1(C2^2:C4)	288,374
(C₃xC₆).₂(C₂²:C₄) = C₄.S₃wrC₂	φ: C₂²:C₄/C₂ → D₄ ⊆ Aut C₃xC₆	24	4	(C3xC6).2(C2^2:C4)	288,375
(C₃xC₆).₃(C₂²:C₄) = (C₃xC₁₂).D₄	φ: C₂²:C₄/C₂ → D₄ ⊆ Aut C₃xC₆	48	4	(C3xC6).3(C2^2:C4)	288,376
(C₃xC₆).₄(C₂²:C₄) = C₃:S₃.₂D₈	φ: C₂²:C₄/C₂ → D₄ ⊆ Aut C₃xC₆	24	4	(C3xC6).4(C2^2:C4)	288,377
(C₃xC₆).₅(C₂²:C₄) = C₃:S₃.₂Q₁₆	φ: C₂²:C₄/C₂ → D₄ ⊆ Aut C₃xC₆	48	4	(C3xC6).5(C2^2:C4)	288,378
(C₃xC₆).₆(C₂²:C₄) = C₃²:C₄wrC₂	φ: C₂²:C₄/C₂ → D₄ ⊆ Aut C₃xC₆	48	4	(C3xC6).6(C2^2:C4)	288,379
(C₃xC₆).₇(C₂²:C₄) = C₆².D₄	φ: C₂²:C₄/C₂ → D₄ ⊆ Aut C₃xC₆	48		(C3xC6).7(C2^2:C4)	288,385
(C₃xC₆).₈(C₂²:C₄) = C₆².₂D₄	φ: C₂²:C₄/C₂ → D₄ ⊆ Aut C₃xC₆	24	4+	(C3xC6).8(C2^2:C4)	288,386
(C₃xC₆).₉(C₂²:C₄) = C₆².₃D₄	φ: C₂²:C₄/C₂ → D₄ ⊆ Aut C₃xC₆	48		(C3xC6).9(C2^2:C4)	288,387
(C₃xC₆).₁₀(C₂²:C₄) = C₆².₄D₄	φ: C₂²:C₄/C₂ → D₄ ⊆ Aut C₃xC₆	96		(C3xC6).10(C2^2:C4)	288,388
(C₃xC₆).₁₁(C₂²:C₄) = Dic₃wrC₂	φ: C₂²:C₄/C₂ → D₄ ⊆ Aut C₃xC₆	24	4-	(C3xC6).11(C2^2:C4)	288,389
(C₃xC₆).₁₂(C₂²:C₄) = (C₆xC₁₂):C₄	φ: C₂²:C₄/C₂² → C₄ ⊆ Aut C₃xC₆	24	4+	(C3xC6).12(C2^2:C4)	288,422
(C₃xC₆).₁₃(C₂²:C₄) = C₆².₆(C₂xC₄)	φ: C₂²:C₄/C₂² → C₄ ⊆ Aut C₃xC₆	48		(C3xC6).13(C2^2:C4)	288,426
(C₃xC₆).₁₄(C₂²:C₄) = C₃:Dic₃.D₄	φ: C₂²:C₄/C₂² → C₄ ⊆ Aut C₃xC₆	48	4-	(C3xC6).14(C2^2:C4)	288,428
(C₃xC₆).₁₅(C₂²:C₄) = (C₆xC₁₂):₂C₄	φ: C₂²:C₄/C₂² → C₄ ⊆ Aut C₃xC₆	48		(C3xC6).15(C2^2:C4)	288,429
(C₃xC₆).₁₆(C₂²:C₄) = C₃:S₃.₅D₈	φ: C₂²:C₄/C₂² → C₄ ⊆ Aut C₃xC₆	24	8+	(C3xC6).16(C2^2:C4)	288,430
(C₃xC₆).₁₇(C₂²:C₄) = C₃²:₆C₄wrC₂	φ: C₂²:C₄/C₂² → C₄ ⊆ Aut C₃xC₆	48	8-	(C3xC6).17(C2^2:C4)	288,431
(C₃xC₆).₁₈(C₂²:C₄) = C₃:S₃.₅Q₁₆	φ: C₂²:C₄/C₂² → C₄ ⊆ Aut C₃xC₆	48	8-	(C3xC6).18(C2^2:C4)	288,432
(C₃xC₆).₁₉(C₂²:C₄) = C₃²:₇C₄wrC₂	φ: C₂²:C₄/C₂² → C₄ ⊆ Aut C₃xC₆	48	8+	(C3xC6).19(C2^2:C4)	288,433
(C₃xC₆).₂₀(C₂²:C₄) = (C₂xC₆²):C₄	φ: C₂²:C₄/C₂² → C₄ ⊆ Aut C₃xC₆	24	4	(C3xC6).20(C2^2:C4)	288,434
(C₃xC₆).₂₁(C₂²:C₄) = C₆²:₃C₈	φ: C₂²:C₄/C₂² → C₄ ⊆ Aut C₃xC₆	48		(C3xC6).21(C2^2:C4)	288,435
(C₃xC₆).₂₂(C₂²:C₄) = (C₂xC₆²).C₄	φ: C₂²:C₄/C₂² → C₄ ⊆ Aut C₃xC₆	24	4	(C3xC6).22(C2^2:C4)	288,436
(C₃xC₆).₂₃(C₂²:C₄) = C₁₂.₇₇D₁₂	φ: C₂²:C₄/C₂² → C₂² ⊆ Aut C₃xC₆	96		(C3xC6).23(C2^2:C4)	288,204
(C₃xC₆).₂₄(C₂²:C₄) = C₁₂.₇₈D₁₂	φ: C₂²:C₄/C₂² → C₂² ⊆ Aut C₃xC₆	48		(C3xC6).24(C2^2:C4)	288,205
(C₃xC₆).₂₅(C₂²:C₄) = C₁₂.D₁₂	φ: C₂²:C₄/C₂² → C₂² ⊆ Aut C₃xC₆	48	4	(C3xC6).25(C2^2:C4)	288,206
(C₃xC₆).₂₆(C₂²:C₄) = C₁₂.₇₀D₁₂	φ: C₂²:C₄/C₂² → C₂² ⊆ Aut C₃xC₆	24	4+	(C3xC6).26(C2^2:C4)	288,207
(C₃xC₆).₂₇(C₂²:C₄) = C₁₂.₁₄D₁₂	φ: C₂²:C₄/C₂² → C₂² ⊆ Aut C₃xC₆	48	4	(C3xC6).27(C2^2:C4)	288,208
(C₃xC₆).₂₈(C₂²:C₄) = C₁₂.₇₁D₁₂	φ: C₂²:C₄/C₂² → C₂² ⊆ Aut C₃xC₆	48	4-	(C3xC6).28(C2^2:C4)	288,209
(C₃xC₆).₂₉(C₂²:C₄) = D₁₂:₃Dic₃	φ: C₂²:C₄/C₂² → C₂² ⊆ Aut C₃xC₆	96		(C3xC6).29(C2^2:C4)	288,210
(C₃xC₆).₃₀(C₂²:C₄) = C₆.₁₆D₂₄	φ: C₂²:C₄/C₂² → C₂² ⊆ Aut C₃xC₆	96		(C3xC6).30(C2^2:C4)	288,211
(C₃xC₆).₃₁(C₂²:C₄) = C₆.₁₇D₂₄	φ: C₂²:C₄/C₂² → C₂² ⊆ Aut C₃xC₆	48		(C3xC6).31(C2^2:C4)	288,212
(C₃xC₆).₃₂(C₂²:C₄) = Dic₆:Dic₃	φ: C₂²:C₄/C₂² → C₂² ⊆ Aut C₃xC₆	96		(C3xC6).32(C2^2:C4)	288,213
(C₃xC₆).₃₃(C₂²:C₄) = C₆.Dic₁₂	φ: C₂²:C₄/C₂² → C₂² ⊆ Aut C₃xC₆	96		(C3xC6).33(C2^2:C4)	288,214
(C₃xC₆).₃₄(C₂²:C₄) = C₁₂.₇₃D₁₂	φ: C₂²:C₄/C₂² → C₂² ⊆ Aut C₃xC₆	96		(C3xC6).34(C2^2:C4)	288,215
(C₃xC₆).₃₅(C₂²:C₄) = D₁₂:₄Dic₃	φ: C₂²:C₄/C₂² → C₂² ⊆ Aut C₃xC₆	24	4	(C3xC6).35(C2^2:C4)	288,216
(C₃xC₆).₃₆(C₂²:C₄) = D₁₂:₂Dic₃	φ: C₂²:C₄/C₂² → C₂² ⊆ Aut C₃xC₆	48	4	(C3xC6).36(C2^2:C4)	288,217
(C₃xC₆).₃₇(C₂²:C₄) = C₁₂.₈₀D₁₂	φ: C₂²:C₄/C₂² → C₂² ⊆ Aut C₃xC₆	48	4	(C3xC6).37(C2^2:C4)	288,218
(C₃xC₆).₃₈(C₂²:C₄) = C₆².₆Q₈	φ: C₂²:C₄/C₂² → C₂² ⊆ Aut C₃xC₆	96		(C3xC6).38(C2^2:C4)	288,227
(C₃xC₆).₃₉(C₂²:C₄) = C₆².₃₁D₄	φ: C₂²:C₄/C₂² → C₂² ⊆ Aut C₃xC₆	24	4	(C3xC6).39(C2^2:C4)	288,228
(C₃xC₆).₄₀(C₂²:C₄) = C₆².₃₂D₄	φ: C₂²:C₄/C₂² → C₂² ⊆ Aut C₃xC₆	24	4	(C3xC6).40(C2^2:C4)	288,229
(C₃xC₆).₄₁(C₂²:C₄) = C₃xC₄²:₄S₃	φ: C₂²:C₄/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	24	2	(C3xC6).41(C2^2:C4)	288,239
(C₃xC₆).₄₂(C₂²:C₄) = C₃xC₂³.₆D₆	φ: C₂²:C₄/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	24	4	(C3xC6).42(C2^2:C4)	288,240
(C₃xC₆).₄₃(C₂²:C₄) = C₃xC₆.D₈	φ: C₂²:C₄/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	96		(C3xC6).43(C2^2:C4)	288,243
(C₃xC₆).₄₄(C₂²:C₄) = C₃xC₆.SD₁₆	φ: C₂²:C₄/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	96		(C3xC6).44(C2^2:C4)	288,244
(C₃xC₆).₄₅(C₂²:C₄) = C₃xC₂.Dic₁₂	φ: C₂²:C₄/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	96		(C3xC6).45(C2^2:C4)	288,250
(C₃xC₆).₄₆(C₂²:C₄) = C₃xD₆:C₈	φ: C₂²:C₄/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	96		(C3xC6).46(C2^2:C4)	288,254
(C₃xC₆).₄₇(C₂²:C₄) = C₃xC₂.D₂₄	φ: C₂²:C₄/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	96		(C3xC6).47(C2^2:C4)	288,255
(C₃xC₆).₄₈(C₂²:C₄) = C₃xC₁₂.₄₆D₄	φ: C₂²:C₄/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	48	4	(C3xC6).48(C2^2:C4)	288,257
(C₃xC₆).₄₉(C₂²:C₄) = C₃xC₁₂.₄₇D₄	φ: C₂²:C₄/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	48	4	(C3xC6).49(C2^2:C4)	288,258
(C₃xC₆).₅₀(C₂²:C₄) = C₃xD₁₂:C₄	φ: C₂²:C₄/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	48	4	(C3xC6).50(C2^2:C4)	288,259
(C₃xC₆).₅₁(C₂²:C₄) = C₁₂²:C₂	φ: C₂²:C₄/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).51(C2^2:C4)	288,280
(C₃xC₆).₅₂(C₂²:C₄) = C₆².₁₁₀D₄	φ: C₂²:C₄/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).52(C2^2:C4)	288,281
(C₃xC₆).₅₃(C₂²:C₄) = C₆².₁₁₃D₄	φ: C₂²:C₄/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).53(C2^2:C4)	288,284
(C₃xC₆).₅₄(C₂²:C₄) = C₆².₁₁₄D₄	φ: C₂²:C₄/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	288		(C3xC6).54(C2^2:C4)	288,285
(C₃xC₆).₅₅(C₂²:C₄) = C₆.₄Dic₁₂	φ: C₂²:C₄/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	288		(C3xC6).55(C2^2:C4)	288,291
(C₃xC₆).₅₆(C₂²:C₄) = C₁₂.₆₀D₁₂	φ: C₂²:C₄/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).56(C2^2:C4)	288,295
(C₃xC₆).₅₇(C₂²:C₄) = C₆².₈₄D₄	φ: C₂²:C₄/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).57(C2^2:C4)	288,296
(C₃xC₆).₅₈(C₂²:C₄) = C₁₂.₁₉D₁₂	φ: C₂²:C₄/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).58(C2^2:C4)	288,298
(C₃xC₆).₅₉(C₂²:C₄) = C₁₂.₂₀D₁₂	φ: C₂²:C₄/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).59(C2^2:C4)	288,299
(C₃xC₆).₆₀(C₂²:C₄) = C₆².₃₇D₄	φ: C₂²:C₄/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).60(C2^2:C4)	288,300
(C₃xC₆).₆₁(C₂²:C₄) = C₆².₁₅Q₈	φ: C₂²:C₄/C₂xC₄ → C₂ ⊆ Aut C₃xC₆	288		(C3xC6).61(C2^2:C4)	288,306
(C₃xC₆).₆₂(C₂²:C₄) = C₃xC₁₂.₅₅D₄	φ: C₂²:C₄/C₂³ → C₂ ⊆ Aut C₃xC₆	48		(C3xC6).62(C2^2:C4)	288,264
(C₃xC₆).₆₃(C₂²:C₄) = C₃xC₆.C₄²	φ: C₂²:C₄/C₂³ → C₂ ⊆ Aut C₃xC₆	96		(C3xC6).63(C2^2:C4)	288,265
(C₃xC₆).₆₄(C₂²:C₄) = C₃xD₄:Dic₃	φ: C₂²:C₄/C₂³ → C₂ ⊆ Aut C₃xC₆	48		(C3xC6).64(C2^2:C4)	288,266
(C₃xC₆).₆₅(C₂²:C₄) = C₃xC₁₂.D₄	φ: C₂²:C₄/C₂³ → C₂ ⊆ Aut C₃xC₆	24	4	(C3xC6).65(C2^2:C4)	288,267
(C₃xC₆).₆₆(C₂²:C₄) = C₃xC₂³.₇D₆	φ: C₂²:C₄/C₂³ → C₂ ⊆ Aut C₃xC₆	24	4	(C3xC6).66(C2^2:C4)	288,268
(C₃xC₆).₆₇(C₂²:C₄) = C₃xQ₈:₂Dic₃	φ: C₂²:C₄/C₂³ → C₂ ⊆ Aut C₃xC₆	96		(C3xC6).67(C2^2:C4)	288,269
(C₃xC₆).₆₈(C₂²:C₄) = C₃xC₁₂.₁₀D₄	φ: C₂²:C₄/C₂³ → C₂ ⊆ Aut C₃xC₆	48	4	(C3xC6).68(C2^2:C4)	288,270
(C₃xC₆).₆₉(C₂²:C₄) = C₃xQ₈:₃Dic₃	φ: C₂²:C₄/C₂³ → C₂ ⊆ Aut C₃xC₆	48	4	(C3xC6).69(C2^2:C4)	288,271
(C₃xC₆).₇₀(C₂²:C₄) = C₆²:₇C₈	φ: C₂²:C₄/C₂³ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).70(C2^2:C4)	288,305
(C₃xC₆).₇₁(C₂²:C₄) = C₆².₁₁₆D₄	φ: C₂²:C₄/C₂³ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).71(C2^2:C4)	288,307
(C₃xC₆).₇₂(C₂²:C₄) = (C₆xD₄).S₃	φ: C₂²:C₄/C₂³ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).72(C2^2:C4)	288,308
(C₃xC₆).₇₃(C₂²:C₄) = C₆².₃₈D₄	φ: C₂²:C₄/C₂³ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).73(C2^2:C4)	288,309
(C₃xC₆).₇₄(C₂²:C₄) = C₆².₁₁₇D₄	φ: C₂²:C₄/C₂³ → C₂ ⊆ Aut C₃xC₆	288		(C3xC6).74(C2^2:C4)	288,310
(C₃xC₆).₇₅(C₂²:C₄) = (C₆xC₁₂).C₄	φ: C₂²:C₄/C₂³ → C₂ ⊆ Aut C₃xC₆	144		(C3xC6).75(C2^2:C4)	288,311
(C₃xC₆).₇₆(C₂²:C₄) = C₆².₃₉D₄	φ: C₂²:C₄/C₂³ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).76(C2^2:C4)	288,312
(C₃xC₆).₇₇(C₂²:C₄) = C₃²xC₂.C₄²	central extension (φ=1)	288		(C3xC6).77(C2^2:C4)	288,313
(C₃xC₆).₇₈(C₂²:C₄) = C₃²xC₂²:C₈	central extension (φ=1)	144		(C3xC6).78(C2^2:C4)	288,316
(C₃xC₆).₇₉(C₂²:C₄) = C₃²xC₂³:C₄	central extension (φ=1)	72		(C3xC6).79(C2^2:C4)	288,317
(C₃xC₆).₈₀(C₂²:C₄) = C₃²xC₄.D₄	central extension (φ=1)	72		(C3xC6).80(C2^2:C4)	288,318
(C₃xC₆).₈₁(C₂²:C₄) = C₃²xC₄.₁₀D₄	central extension (φ=1)	144		(C3xC6).81(C2^2:C4)	288,319
(C₃xC₆).₈₂(C₂²:C₄) = C₃²xD₄:C₄	central extension (φ=1)	144		(C3xC6).82(C2^2:C4)	288,320
(C₃xC₆).₈₃(C₂²:C₄) = C₃²xQ₈:C₄	central extension (φ=1)	288		(C3xC6).83(C2^2:C4)	288,321
(C₃xC₆).₈₄(C₂²:C₄) = C₃²xC₄wrC₂	central extension (φ=1)	72		(C3xC6).84(C2^2:C4)	288,322

Extensions 1→N→G→Q→1 with N=C3xC6 and Q=C22:C4

Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=C₂²:C₄