Extensions 1→N→G→Q→1 with N=C₄xS₃ and Q=D₄

Direct product G=NxQ with N=C₄xS₃ and Q=D₄

		d	ρ	Label	ID
C₄xS₃xD₄		48		C4xS3xD4	192,1103

Semidirect products G=N:Q with N=C₄xS₃ and Q=D₄

extension	φ:Q→Out N	d	Label	ID
(C₄xS₃):₁D₄ = C₆.₃₈2₊¹⁺⁴	φ: D₄/C₂ → C₂² ⊆ Out C₄xS₃	48	(C4xS3):1D4	192,1166
(C₄xS₃):₂D₄ = C₆.₇₂2_-¹⁺⁴	φ: D₄/C₂ → C₂² ⊆ Out C₄xS₃	96	(C4xS3):2D4	192,1167
(C₄xS₃):₃D₄ = C₆.₁₇2_-¹⁺⁴	φ: D₄/C₂ → C₂² ⊆ Out C₄xS₃	96	(C4xS3):3D4	192,1188
(C₄xS₃):₄D₄ = C₄²:₂₀D₆	φ: D₄/C₂ → C₂² ⊆ Out C₄xS₃	48	(C4xS3):4D4	192,1233
(C₄xS₃):₅D₄ = C₄²:₂₈D₆	φ: D₄/C₂ → C₂² ⊆ Out C₄xS₃	48	(C4xS3):5D4	192,1274
(C₄xS₃):₆D₄ = C₄².₂₃₃D₆	φ: D₄/C₄ → C₂ ⊆ Out C₄xS₃	96	(C4xS3):6D4	192,1227
(C₄xS₃):₇D₄ = S₃xC₄:₁D₄	φ: D₄/C₄ → C₂ ⊆ Out C₄xS₃	48	(C4xS3):7D4	192,1273
(C₄xS₃):₈D₄ = C₄².₂₃₈D₆	φ: D₄/C₄ → C₂ ⊆ Out C₄xS₃	96	(C4xS3):8D4	192,1275
(C₄xS₃):₉D₄ = C₄².₂₄₀D₆	φ: D₄/C₄ → C₂ ⊆ Out C₄xS₃	96	(C4xS3):9D4	192,1284
(C₄xS₃):₁₀D₄ = C₄².₂₂₈D₆	φ: D₄/C₄ → C₂ ⊆ Out C₄xS₃	96	(C4xS3):10D4	192,1107
(C₄xS₃):₁₁D₄ = S₃xC₄:D₄	φ: D₄/C₂² → C₂ ⊆ Out C₄xS₃	48	(C4xS3):11D4	192,1163
(C₄xS₃):₁₂D₄ = C₄:C₄:₂₁D₆	φ: D₄/C₂² → C₂ ⊆ Out C₄xS₃	48	(C4xS3):12D4	192,1165
(C₄xS₃):₁₃D₄ = C₄:C₄:₂₆D₆	φ: D₄/C₂² → C₂ ⊆ Out C₄xS₃	48	(C4xS3):13D4	192,1186
(C₄xS₃):₁₄D₄ = C₄²:₁₄D₆	φ: D₄/C₂² → C₂ ⊆ Out C₄xS₃	48	(C4xS3):14D4	192,1106

Non-split extensions G=N.Q with N=C₄xS₃ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xS₃).₁D₄ = S₃xC₄.D₄	φ: D₄/C₂ → C₂² ⊆ Out C₄xS₃	24	8+	(C4xS3).1D4	192,303
(C₄xS₃).₂D₄ = S₃xC₄.₁₀D₄	φ: D₄/C₂ → C₂² ⊆ Out C₄xS₃	48	8-	(C4xS3).2D4	192,309
(C₄xS₃).₃D₄ = C₄:C₄:₁₉D₆	φ: D₄/C₂ → C₂² ⊆ Out C₄xS₃	48		(C4xS3).3D4	192,329
(C₄xS₃).₄D₄ = D₄:(C₄xS₃)	φ: D₄/C₂ → C₂² ⊆ Out C₄xS₃	96		(C4xS3).4D4	192,330
(C₄xS₃).₅D₄ = (S₃xQ₈):C₄	φ: D₄/C₂ → C₂² ⊆ Out C₄xS₃	96		(C4xS3).5D4	192,361
(C₄xS₃).₆D₄ = Q₈:₇(C₄xS₃)	φ: D₄/C₂ → C₂² ⊆ Out C₄xS₃	96		(C4xS3).6D4	192,362
(C₄xS₃).₇D₄ = D₈:D₆	φ: D₄/C₂ → C₂² ⊆ Out C₄xS₃	48	4	(C4xS3).7D4	192,470
(C₄xS₃).₈D₄ = D₄₈:C₂	φ: D₄/C₂ → C₂² ⊆ Out C₄xS₃	48	4+	(C4xS3).8D4	192,473
(C₄xS₃).₉D₄ = SD₃₂:S₃	φ: D₄/C₂ → C₂² ⊆ Out C₄xS₃	96	4-	(C4xS3).9D4	192,474
(C₄xS₃).₁₀D₄ = Q₃₂:S₃	φ: D₄/C₂ → C₂² ⊆ Out C₄xS₃	96	4	(C4xS3).10D4	192,477
(C₄xS₃).₁₁D₄ = C₆.₁₆2_-¹⁺⁴	φ: D₄/C₂ → C₂² ⊆ Out C₄xS₃	96		(C4xS3).11D4	192,1187
(C₄xS₃).₁₂D₄ = C₄².₁₄₁D₆	φ: D₄/C₂ → C₂² ⊆ Out C₄xS₃	96		(C4xS3).12D4	192,1234
(C₄xS₃).₁₃D₄ = C₄².₁₇₁D₆	φ: D₄/C₂ → C₂² ⊆ Out C₄xS₃	96		(C4xS3).13D4	192,1283
(C₄xS₃).₁₄D₄ = C₂xD₈:S₃	φ: D₄/C₂ → C₂² ⊆ Out C₄xS₃	48		(C4xS3).14D4	192,1314
(C₄xS₃).₁₅D₄ = C₂xQ₈:₃D₆	φ: D₄/C₂ → C₂² ⊆ Out C₄xS₃	48		(C4xS3).15D4	192,1318
(C₄xS₃).₁₆D₄ = C₂xD₄.D₆	φ: D₄/C₂ → C₂² ⊆ Out C₄xS₃	96		(C4xS3).16D4	192,1319
(C₄xS₃).₁₇D₄ = C₂xQ₁₆:S₃	φ: D₄/C₂ → C₂² ⊆ Out C₄xS₃	96		(C4xS3).17D4	192,1323
(C₄xS₃).₁₈D₄ = S₃xD₁₆	φ: D₄/C₄ → C₂ ⊆ Out C₄xS₃	48	4+	(C4xS3).18D4	192,469
(C₄xS₃).₁₉D₄ = D₁₆:₃S₃	φ: D₄/C₄ → C₂ ⊆ Out C₄xS₃	96	4-	(C4xS3).19D4	192,471
(C₄xS₃).₂₀D₄ = S₃xSD₃₂	φ: D₄/C₄ → C₂ ⊆ Out C₄xS₃	48	4	(C4xS3).20D4	192,472
(C₄xS₃).₂₁D₄ = D₆.₂D₈	φ: D₄/C₄ → C₂ ⊆ Out C₄xS₃	96	4	(C4xS3).21D4	192,475
(C₄xS₃).₂₂D₄ = S₃xQ₃₂	φ: D₄/C₄ → C₂ ⊆ Out C₄xS₃	96	4-	(C4xS3).22D4	192,476
(C₄xS₃).₂₃D₄ = D₄₈:₅C₂	φ: D₄/C₄ → C₂ ⊆ Out C₄xS₃	96	4+	(C4xS3).23D4	192,478
(C₄xS₃).₂₄D₄ = S₃xC₄.₄D₄	φ: D₄/C₄ → C₂ ⊆ Out C₄xS₃	48		(C4xS3).24D4	192,1232
(C₄xS₃).₂₅D₄ = S₃xC₄:Q₈	φ: D₄/C₄ → C₂ ⊆ Out C₄xS₃	96		(C4xS3).25D4	192,1282
(C₄xS₃).₂₆D₄ = C₂xS₃xD₈	φ: D₄/C₄ → C₂ ⊆ Out C₄xS₃	48		(C4xS3).26D4	192,1313
(C₄xS₃).₂₇D₄ = C₂xD₈:₃S₃	φ: D₄/C₄ → C₂ ⊆ Out C₄xS₃	96		(C4xS3).27D4	192,1315
(C₄xS₃).₂₈D₄ = C₂xS₃xSD₁₆	φ: D₄/C₄ → C₂ ⊆ Out C₄xS₃	48		(C4xS3).28D4	192,1317
(C₄xS₃).₂₉D₄ = C₂xQ₈.₇D₆	φ: D₄/C₄ → C₂ ⊆ Out C₄xS₃	96		(C4xS3).29D4	192,1320
(C₄xS₃).₃₀D₄ = C₂xS₃xQ₁₆	φ: D₄/C₄ → C₂ ⊆ Out C₄xS₃	96		(C4xS3).30D4	192,1322
(C₄xS₃).₃₁D₄ = C₂xD₂₄:C₂	φ: D₄/C₄ → C₂ ⊆ Out C₄xS₃	96		(C4xS3).31D4	192,1324
(C₄xS₃).₃₂D₄ = S₃xC₄wrC₂	φ: D₄/C₄ → C₂ ⊆ Out C₄xS₃	24	4	(C4xS3).32D4	192,379
(C₄xS₃).₃₃D₄ = C₁₂:M₄(2)	φ: D₄/C₄ → C₂ ⊆ Out C₄xS₃	96		(C4xS3).33D4	192,396
(C₄xS₃).₃₄D₄ = S₃xC₈.C₄	φ: D₄/C₄ → C₂ ⊆ Out C₄xS₃	48	4	(C4xS3).34D4	192,451
(C₄xS₃).₃₅D₄ = M₄(2).₁₉D₆	φ: D₄/C₂² → C₂ ⊆ Out C₄xS₃	48	8-	(C4xS3).35D4	192,304
(C₄xS₃).₃₆D₄ = M₄(2).₂₁D₆	φ: D₄/C₂² → C₂ ⊆ Out C₄xS₃	48	8+	(C4xS3).36D4	192,310
(C₄xS₃).₃₇D₄ = S₃xD₄:C₄	φ: D₄/C₂² → C₂ ⊆ Out C₄xS₃	48		(C4xS3).37D4	192,328
(C₄xS₃).₃₈D₄ = D₄:₂S₃:C₄	φ: D₄/C₂² → C₂ ⊆ Out C₄xS₃	96		(C4xS3).38D4	192,331
(C₄xS₃).₃₉D₄ = S₃xQ₈:C₄	φ: D₄/C₂² → C₂ ⊆ Out C₄xS₃	96		(C4xS3).39D4	192,360
(C₄xS₃).₄₀D₄ = C₄:C₄.₁₅₀D₆	φ: D₄/C₂² → C₂ ⊆ Out C₄xS₃	96		(C4xS3).40D4	192,363
(C₄xS₃).₄₁D₄ = S₃xC₂²:Q₈	φ: D₄/C₂² → C₂ ⊆ Out C₄xS₃	48		(C4xS3).41D4	192,1185
(C₄xS₃).₄₂D₄ = S₃xC₈:C₂²	φ: D₄/C₂² → C₂ ⊆ Out C₄xS₃	24	8+	(C4xS3).42D4	192,1331
(C₄xS₃).₄₃D₄ = D₈:₄D₆	φ: D₄/C₂² → C₂ ⊆ Out C₄xS₃	48	8-	(C4xS3).43D4	192,1332
(C₄xS₃).₄₄D₄ = S₃xC₈.C₂²	φ: D₄/C₂² → C₂ ⊆ Out C₄xS₃	48	8-	(C4xS3).44D4	192,1335
(C₄xS₃).₄₅D₄ = D₂₄:C₂²	φ: D₄/C₂² → C₂ ⊆ Out C₄xS₃	48	8+	(C4xS3).45D4	192,1336
(C₄xS₃).₄₆D₄ = D₆:M₄(2)	φ: D₄/C₂² → C₂ ⊆ Out C₄xS₃	48		(C4xS3).46D4	192,285
(C₄xS₃).₄₇D₄ = D₆:C₈:C₂	φ: D₄/C₂² → C₂ ⊆ Out C₄xS₃	96		(C4xS3).47D4	192,286
(C₄xS₃).₄₈D₄ = C₄²:₃D₆	φ: D₄/C₂² → C₂ ⊆ Out C₄xS₃	48	4	(C4xS3).48D4	192,380
(C₄xS₃).₄₉D₄ = C₄².₃₀D₆	φ: D₄/C₂² → C₂ ⊆ Out C₄xS₃	96		(C4xS3).49D4	192,398
(C₄xS₃).₅₀D₄ = M₄(2).₂₅D₆	φ: D₄/C₂² → C₂ ⊆ Out C₄xS₃	48	4	(C4xS3).50D4	192,452
(C₄xS₃).₅₁D₄ = SD₁₆:D₆	φ: D₄/C₂² → C₂ ⊆ Out C₄xS₃	48	4	(C4xS3).51D4	192,1327
(C₄xS₃).₅₂D₄ = S₃xC₂²:C₈	φ: trivial image	48		(C4xS3).52D4	192,283
(C₄xS₃).₅₃D₄ = S₃xC₄:C₈	φ: trivial image	96		(C4xS3).53D4	192,391
(C₄xS₃).₅₄D₄ = S₃xC₄oD₈	φ: trivial image	48	4	(C4xS3).54D4	192,1326

Extensions 1→N→G→Q→1 with N=C4xS3 and Q=D4

Extensions 1→N→G→Q→1 with N=C₄xS₃ and Q=D₄