Extensions 1→N→G→Q→1 with N=C₄xS₃ and Q=D₁₀

Direct product G=NxQ with N=C₄xS₃ and Q=D₁₀

		d	ρ	Label	ID
S₃xC₂xC₄xD₅		120		S3xC2xC4xD5	480,1086

Semidirect products G=N:Q with N=C₄xS₃ and Q=D₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xS₃):₁D₁₀ = D₂₀:₂₅D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₄xS₃	120	4	(C4xS3):1D10	480,1093
(C₄xS₃):₂D₁₀ = D₂₀:₂₉D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₄xS₃	120	4+	(C4xS3):2D10	480,1095
(C₄xS₃):₃D₁₀ = D₂₀:₁₃D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₄xS₃	120	8-	(C4xS3):3D10	480,1101
(C₄xS₃):₄D₁₀ = D₂₀:₁₄D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₄xS₃	120	8+	(C4xS3):4D10	480,1102
(C₄xS₃):₅D₁₀ = D₁₂:₁₄D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₄xS₃	120	8+	(C4xS3):5D10	480,1103
(C₄xS₃):₆D₁₀ = D₂₀:₁₇D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₄xS₃	120	8+	(C4xS3):6D10	480,1111
(C₄xS₃):₇D₁₀ = S₃xD₄xD₅	φ: D₁₀/D₅ → C₂ ⊆ Out C₄xS₃	60	8+	(C4xS3):7D10	480,1097
(C₄xS₃):₈D₁₀ = D₅xD₄:₂S₃	φ: D₁₀/D₅ → C₂ ⊆ Out C₄xS₃	120	8-	(C4xS3):8D10	480,1098
(C₄xS₃):₉D₁₀ = D₃₀.C₂³	φ: D₁₀/D₅ → C₂ ⊆ Out C₄xS₃	120	8+	(C4xS3):9D10	480,1100
(C₄xS₃):₁₀D₁₀ = D₅xQ₈:₃S₃	φ: D₁₀/D₅ → C₂ ⊆ Out C₄xS₃	120	8+	(C4xS3):10D10	480,1108
(C₄xS₃):₁₁D₁₀ = D₂₀:₁₆D₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₄xS₃	120	8-	(C4xS3):11D10	480,1110
(C₄xS₃):₁₂D₁₀ = D₅xC₄oD₁₂	φ: D₁₀/D₅ → C₂ ⊆ Out C₄xS₃	120	4	(C4xS3):12D10	480,1090
(C₄xS₃):₁₃D₁₀ = D₂₀:₂₄D₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₄xS₃	120	4	(C4xS3):13D10	480,1092
(C₄xS₃):₁₄D₁₀ = C₂xD₂₀:₅S₃	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	240		(C4xS3):14D10	480,1074
(C₄xS₃):₁₅D₁₀ = C₂xD₆₀:C₂	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	240		(C4xS3):15D10	480,1081
(C₄xS₃):₁₆D₁₀ = C₂xS₃xD₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	120		(C4xS3):16D10	480,1088
(C₄xS₃):₁₇D₁₀ = S₃xC₄oD₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	120	4	(C4xS3):17D10	480,1091
(C₄xS₃):₁₈D₁₀ = C₂xD₆.D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	240		(C4xS3):18D10	480,1083

Non-split extensions G=N.Q with N=C₄xS₃ and Q=D₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xS₃).₁D₁₀ = C₄₀:₁D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₄xS₃	120	4+	(C4xS3).1D10	480,329
(C₄xS₃).₂D₁₀ = D₄₀:S₃	φ: D₁₀/C₅ → C₂² ⊆ Out C₄xS₃	120	4	(C4xS3).2D10	480,330
(C₄xS₃).₃D₁₀ = Dic₂₀:S₃	φ: D₁₀/C₅ → C₂² ⊆ Out C₄xS₃	240	4	(C4xS3).3D10	480,339
(C₄xS₃).₄D₁₀ = C₄₀.₂D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₄xS₃	240	4-	(C4xS3).4D10	480,350
(C₄xS₃).₅D₁₀ = D₆₀.C₂²	φ: D₁₀/C₅ → C₂² ⊆ Out C₄xS₃	120	8+	(C4xS3).5D10	480,556
(C₄xS₃).₆D₁₀ = C₆₀.₁₀C₂³	φ: D₁₀/C₅ → C₂² ⊆ Out C₄xS₃	240	8-	(C4xS3).6D10	480,562
(C₄xS₃).₇D₁₀ = D₂₀:₁₀D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₄xS₃	120	8-	(C4xS3).7D10	480,570
(C₄xS₃).₈D₁₀ = D₁₂.₉D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₄xS₃	120	8+	(C4xS3).8D10	480,572
(C₄xS₃).₉D₁₀ = D₁₂:D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₄xS₃	120	8+	(C4xS3).9D10	480,580
(C₄xS₃).₁₀D₁₀ = Dic₁₀.₂₆D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₄xS₃	240	8-	(C4xS3).10D10	480,586
(C₄xS₃).₁₁D₁₀ = D₂₀.₂₈D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₄xS₃	240	8-	(C4xS3).11D10	480,594
(C₄xS₃).₁₂D₁₀ = C₆₀.₄₄C₂³	φ: D₁₀/C₅ → C₂² ⊆ Out C₄xS₃	240	8+	(C4xS3).12D10	480,596
(C₄xS₃).₁₃D₁₀ = D₂₀.₃₉D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₄xS₃	240	4-	(C4xS3).13D10	480,1077
(C₄xS₃).₁₄D₁₀ = C₃₀.C₂⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₄xS₃	240	4	(C4xS3).14D10	480,1080
(C₄xS₃).₁₅D₁₀ = C₁₅:2_-¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₄xS₃	240	8-	(C4xS3).15D10	480,1096
(C₄xS₃).₁₆D₁₀ = D₂₀.₂₉D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₄xS₃	240	8-	(C4xS3).16D10	480,1104
(C₄xS₃).₁₇D₁₀ = C₃₀.₃₃C₂⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₄xS₃	240	8+	(C4xS3).17D10	480,1105
(C₄xS₃).₁₈D₁₀ = D₁₂.₂₉D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₄xS₃	240	8-	(C4xS3).18D10	480,1106
(C₄xS₃).₁₉D₁₀ = S₃xD₄:D₅	φ: D₁₀/D₅ → C₂ ⊆ Out C₄xS₃	120	8+	(C4xS3).19D10	480,555
(C₄xS₃).₂₀D₁₀ = S₃xD₄.D₅	φ: D₁₀/D₅ → C₂ ⊆ Out C₄xS₃	120	8-	(C4xS3).20D10	480,561
(C₄xS₃).₂₁D₁₀ = D₂₀.₂₄D₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₄xS₃	240	8-	(C4xS3).21D10	480,569
(C₄xS₃).₂₂D₁₀ = C₆₀.₁₉C₂³	φ: D₁₀/D₅ → C₂ ⊆ Out C₄xS₃	240	8+	(C4xS3).22D10	480,571
(C₄xS₃).₂₃D₁₀ = S₃xQ₈:D₅	φ: D₁₀/D₅ → C₂ ⊆ Out C₄xS₃	120	8+	(C4xS3).23D10	480,579
(C₄xS₃).₂₄D₁₀ = S₃xC₅:Q₁₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₄xS₃	240	8-	(C4xS3).24D10	480,585
(C₄xS₃).₂₅D₁₀ = D₂₀.₂₇D₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₄xS₃	240	8-	(C4xS3).25D10	480,593
(C₄xS₃).₂₆D₁₀ = Dic₁₀.₂₇D₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₄xS₃	240	8+	(C4xS3).26D10	480,595
(C₄xS₃).₂₇D₁₀ = S₃xD₄:₂D₅	φ: D₁₀/D₅ → C₂ ⊆ Out C₄xS₃	120	8-	(C4xS3).27D10	480,1099
(C₄xS₃).₂₈D₁₀ = S₃xQ₈xD₅	φ: D₁₀/D₅ → C₂ ⊆ Out C₄xS₃	120	8-	(C4xS3).28D10	480,1107
(C₄xS₃).₂₉D₁₀ = S₃xQ₈:₂D₅	φ: D₁₀/D₅ → C₂ ⊆ Out C₄xS₃	120	8+	(C4xS3).29D10	480,1109
(C₄xS₃).₃₀D₁₀ = D₅xC₈:S₃	φ: D₁₀/D₅ → C₂ ⊆ Out C₄xS₃	120	4	(C4xS3).30D10	480,320
(C₄xS₃).₃₁D₁₀ = C₄₀:D₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₄xS₃	120	4	(C4xS3).31D10	480,322
(C₄xS₃).₃₂D₁₀ = C₄₀.₃₄D₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₄xS₃	240	4	(C4xS3).32D10	480,342
(C₄xS₃).₃₃D₁₀ = C₄₀.₃₅D₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₄xS₃	240	4	(C4xS3).33D10	480,344
(C₄xS₃).₃₄D₁₀ = D₁₂.₂Dic₅	φ: D₁₀/D₅ → C₂ ⊆ Out C₄xS₃	240	4	(C4xS3).34D10	480,362
(C₄xS₃).₃₅D₁₀ = D₁₂.Dic₅	φ: D₁₀/D₅ → C₂ ⊆ Out C₄xS₃	240	4	(C4xS3).35D10	480,364
(C₄xS₃).₃₆D₁₀ = S₃xC₄₀:C₂	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	120	4	(C4xS3).36D10	480,327
(C₄xS₃).₃₇D₁₀ = S₃xD₄₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	120	4+	(C4xS3).37D10	480,328
(C₄xS₃).₃₈D₁₀ = S₃xDic₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	240	4-	(C4xS3).38D10	480,338
(C₄xS₃).₃₉D₁₀ = D₆.₁D₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	240	4	(C4xS3).39D10	480,348
(C₄xS₃).₄₀D₁₀ = D₄₀:₇S₃	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	240	4-	(C4xS3).40D10	480,349
(C₄xS₃).₄₁D₁₀ = D₁₂₀:₅C₂	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	240	4+	(C4xS3).41D10	480,351
(C₄xS₃).₄₂D₁₀ = C₂xS₃xDic₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	240		(C4xS3).42D10	480,1078
(C₄xS₃).₄₃D₁₀ = C₄₀.₅₄D₆	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	240	4	(C4xS3).43D10	480,341
(C₄xS₃).₄₄D₁₀ = C₄₀.₅₅D₆	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	240	4	(C4xS3).44D10	480,343
(C₄xS₃).₄₅D₁₀ = C₂xD₆.Dic₅	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄xS₃	240		(C4xS3).45D10	480,370
(C₄xS₃).₄₆D₁₀ = S₃xC₈xD₅	φ: trivial image	120	4	(C4xS3).46D10	480,319
(C₄xS₃).₄₇D₁₀ = S₃xC₈:D₅	φ: trivial image	120	4	(C4xS3).47D10	480,321
(C₄xS₃).₄₈D₁₀ = C₂xS₃xC₅:₂C₈	φ: trivial image	240		(C4xS3).48D10	480,361
(C₄xS₃).₄₉D₁₀ = S₃xC₄.Dic₅	φ: trivial image	120	4	(C4xS3).49D10	480,363

Extensions 1→N→G→Q→1 with N=C4xS3 and Q=D10

Extensions 1→N→G→Q→1 with N=C₄xS₃ and Q=D₁₀