Extensions 1→N→G→Q→1 with N=C₄×S₃ and Q=D₁₀

Direct product G=N×Q with N=C₄×S₃ and Q=D₁₀

		d	ρ	Label	ID
S₃×C₂×C₄×D₅		120		S3xC2xC4xD5	480,1086

Semidirect products G=N:Q with N=C₄×S₃ and Q=D₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃)⋊₁D₁₀ = D₂₀⋊₂₅D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₄×S₃	120	4	(C4xS3):1D10	480,1093
(C₄×S₃)⋊₂D₁₀ = D₂₀⋊₂₉D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₄×S₃	120	4+	(C4xS3):2D10	480,1095
(C₄×S₃)⋊₃D₁₀ = D₂₀⋊₁₃D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₄×S₃	120	8-	(C4xS3):3D10	480,1101
(C₄×S₃)⋊₄D₁₀ = D₂₀⋊₁₄D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₄×S₃	120	8+	(C4xS3):4D10	480,1102
(C₄×S₃)⋊₅D₁₀ = D₁₂⋊₁₄D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₄×S₃	120	8+	(C4xS3):5D10	480,1103
(C₄×S₃)⋊₆D₁₀ = D₂₀⋊₁₇D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₄×S₃	120	8+	(C4xS3):6D10	480,1111
(C₄×S₃)⋊₇D₁₀ = S₃×D₄×D₅	φ: D₁₀/D₅ → C₂ ⊆ Out C₄×S₃	60	8+	(C4xS3):7D10	480,1097
(C₄×S₃)⋊₈D₁₀ = D₅×D₄⋊₂S₃	φ: D₁₀/D₅ → C₂ ⊆ Out C₄×S₃	120	8-	(C4xS3):8D10	480,1098
(C₄×S₃)⋊₉D₁₀ = D₃₀.C₂³	φ: D₁₀/D₅ → C₂ ⊆ Out C₄×S₃	120	8+	(C4xS3):9D10	480,1100
(C₄×S₃)⋊₁₀D₁₀ = D₅×Q₈⋊₃S₃	φ: D₁₀/D₅ → C₂ ⊆ Out C₄×S₃	120	8+	(C4xS3):10D10	480,1108
(C₄×S₃)⋊₁₁D₁₀ = D₂₀⋊₁₆D₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₄×S₃	120	8-	(C4xS3):11D10	480,1110
(C₄×S₃)⋊₁₂D₁₀ = D₅×C₄○D₁₂	φ: D₁₀/D₅ → C₂ ⊆ Out C₄×S₃	120	4	(C4xS3):12D10	480,1090
(C₄×S₃)⋊₁₃D₁₀ = D₂₀⋊₂₄D₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₄×S₃	120	4	(C4xS3):13D10	480,1092
(C₄×S₃)⋊₁₄D₁₀ = C₂×D₂₀⋊₅S₃	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄×S₃	240		(C4xS3):14D10	480,1074
(C₄×S₃)⋊₁₅D₁₀ = C₂×D₆₀⋊C₂	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄×S₃	240		(C4xS3):15D10	480,1081
(C₄×S₃)⋊₁₆D₁₀ = C₂×S₃×D₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄×S₃	120		(C4xS3):16D10	480,1088
(C₄×S₃)⋊₁₇D₁₀ = S₃×C₄○D₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄×S₃	120	4	(C4xS3):17D10	480,1091
(C₄×S₃)⋊₁₈D₁₀ = C₂×D₆.D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄×S₃	240		(C4xS3):18D10	480,1083

Non-split extensions G=N.Q with N=C₄×S₃ and Q=D₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃).₁D₁₀ = C₄₀⋊₁D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₄×S₃	120	4+	(C4xS3).1D10	480,329
(C₄×S₃).₂D₁₀ = D₄₀⋊S₃	φ: D₁₀/C₅ → C₂² ⊆ Out C₄×S₃	120	4	(C4xS3).2D10	480,330
(C₄×S₃).₃D₁₀ = Dic₂₀⋊S₃	φ: D₁₀/C₅ → C₂² ⊆ Out C₄×S₃	240	4	(C4xS3).3D10	480,339
(C₄×S₃).₄D₁₀ = C₄₀.₂D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₄×S₃	240	4-	(C4xS3).4D10	480,350
(C₄×S₃).₅D₁₀ = D₆₀.C₂²	φ: D₁₀/C₅ → C₂² ⊆ Out C₄×S₃	120	8+	(C4xS3).5D10	480,556
(C₄×S₃).₆D₁₀ = C₆₀.₁₀C₂³	φ: D₁₀/C₅ → C₂² ⊆ Out C₄×S₃	240	8-	(C4xS3).6D10	480,562
(C₄×S₃).₇D₁₀ = D₂₀⋊₁₀D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₄×S₃	120	8-	(C4xS3).7D10	480,570
(C₄×S₃).₈D₁₀ = D₁₂.₉D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₄×S₃	120	8+	(C4xS3).8D10	480,572
(C₄×S₃).₉D₁₀ = D₁₂⋊D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₄×S₃	120	8+	(C4xS3).9D10	480,580
(C₄×S₃).₁₀D₁₀ = Dic₁₀.₂₆D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₄×S₃	240	8-	(C4xS3).10D10	480,586
(C₄×S₃).₁₁D₁₀ = D₂₀.₂₈D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₄×S₃	240	8-	(C4xS3).11D10	480,594
(C₄×S₃).₁₂D₁₀ = C₆₀.₄₄C₂³	φ: D₁₀/C₅ → C₂² ⊆ Out C₄×S₃	240	8+	(C4xS3).12D10	480,596
(C₄×S₃).₁₃D₁₀ = D₂₀.₃₉D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₄×S₃	240	4-	(C4xS3).13D10	480,1077
(C₄×S₃).₁₄D₁₀ = C₃₀.C₂⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₄×S₃	240	4	(C4xS3).14D10	480,1080
(C₄×S₃).₁₅D₁₀ = C₁₅⋊2_-¹⁺⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₄×S₃	240	8-	(C4xS3).15D10	480,1096
(C₄×S₃).₁₆D₁₀ = D₂₀.₂₉D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₄×S₃	240	8-	(C4xS3).16D10	480,1104
(C₄×S₃).₁₇D₁₀ = C₃₀.₃₃C₂⁴	φ: D₁₀/C₅ → C₂² ⊆ Out C₄×S₃	240	8+	(C4xS3).17D10	480,1105
(C₄×S₃).₁₈D₁₀ = D₁₂.₂₉D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₄×S₃	240	8-	(C4xS3).18D10	480,1106
(C₄×S₃).₁₉D₁₀ = S₃×D₄⋊D₅	φ: D₁₀/D₅ → C₂ ⊆ Out C₄×S₃	120	8+	(C4xS3).19D10	480,555
(C₄×S₃).₂₀D₁₀ = S₃×D₄.D₅	φ: D₁₀/D₅ → C₂ ⊆ Out C₄×S₃	120	8-	(C4xS3).20D10	480,561
(C₄×S₃).₂₁D₁₀ = D₂₀.₂₄D₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₄×S₃	240	8-	(C4xS3).21D10	480,569
(C₄×S₃).₂₂D₁₀ = C₆₀.₁₉C₂³	φ: D₁₀/D₅ → C₂ ⊆ Out C₄×S₃	240	8+	(C4xS3).22D10	480,571
(C₄×S₃).₂₃D₁₀ = S₃×Q₈⋊D₅	φ: D₁₀/D₅ → C₂ ⊆ Out C₄×S₃	120	8+	(C4xS3).23D10	480,579
(C₄×S₃).₂₄D₁₀ = S₃×C₅⋊Q₁₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₄×S₃	240	8-	(C4xS3).24D10	480,585
(C₄×S₃).₂₅D₁₀ = D₂₀.₂₇D₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₄×S₃	240	8-	(C4xS3).25D10	480,593
(C₄×S₃).₂₆D₁₀ = Dic₁₀.₂₇D₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₄×S₃	240	8+	(C4xS3).26D10	480,595
(C₄×S₃).₂₇D₁₀ = S₃×D₄⋊₂D₅	φ: D₁₀/D₅ → C₂ ⊆ Out C₄×S₃	120	8-	(C4xS3).27D10	480,1099
(C₄×S₃).₂₈D₁₀ = S₃×Q₈×D₅	φ: D₁₀/D₅ → C₂ ⊆ Out C₄×S₃	120	8-	(C4xS3).28D10	480,1107
(C₄×S₃).₂₉D₁₀ = S₃×Q₈⋊₂D₅	φ: D₁₀/D₅ → C₂ ⊆ Out C₄×S₃	120	8+	(C4xS3).29D10	480,1109
(C₄×S₃).₃₀D₁₀ = D₅×C₈⋊S₃	φ: D₁₀/D₅ → C₂ ⊆ Out C₄×S₃	120	4	(C4xS3).30D10	480,320
(C₄×S₃).₃₁D₁₀ = C₄₀⋊D₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₄×S₃	120	4	(C4xS3).31D10	480,322
(C₄×S₃).₃₂D₁₀ = C₄₀.₃₄D₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₄×S₃	240	4	(C4xS3).32D10	480,342
(C₄×S₃).₃₃D₁₀ = C₄₀.₃₅D₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₄×S₃	240	4	(C4xS3).33D10	480,344
(C₄×S₃).₃₄D₁₀ = D₁₂.₂Dic₅	φ: D₁₀/D₅ → C₂ ⊆ Out C₄×S₃	240	4	(C4xS3).34D10	480,362
(C₄×S₃).₃₅D₁₀ = D₁₂.Dic₅	φ: D₁₀/D₅ → C₂ ⊆ Out C₄×S₃	240	4	(C4xS3).35D10	480,364
(C₄×S₃).₃₆D₁₀ = S₃×C₄₀⋊C₂	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄×S₃	120	4	(C4xS3).36D10	480,327
(C₄×S₃).₃₇D₁₀ = S₃×D₄₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄×S₃	120	4+	(C4xS3).37D10	480,328
(C₄×S₃).₃₈D₁₀ = S₃×Dic₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄×S₃	240	4-	(C4xS3).38D10	480,338
(C₄×S₃).₃₉D₁₀ = D₆.₁D₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄×S₃	240	4	(C4xS3).39D10	480,348
(C₄×S₃).₄₀D₁₀ = D₄₀⋊₇S₃	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄×S₃	240	4-	(C4xS3).40D10	480,349
(C₄×S₃).₄₁D₁₀ = D₁₂₀⋊₅C₂	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄×S₃	240	4+	(C4xS3).41D10	480,351
(C₄×S₃).₄₂D₁₀ = C₂×S₃×Dic₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄×S₃	240		(C4xS3).42D10	480,1078
(C₄×S₃).₄₃D₁₀ = C₄₀.₅₄D₆	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄×S₃	240	4	(C4xS3).43D10	480,341
(C₄×S₃).₄₄D₁₀ = C₄₀.₅₅D₆	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄×S₃	240	4	(C4xS3).44D10	480,343
(C₄×S₃).₄₅D₁₀ = C₂×D₆.Dic₅	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₄×S₃	240		(C4xS3).45D10	480,370
(C₄×S₃).₄₆D₁₀ = S₃×C₈×D₅	φ: trivial image	120	4	(C4xS3).46D10	480,319
(C₄×S₃).₄₇D₁₀ = S₃×C₈⋊D₅	φ: trivial image	120	4	(C4xS3).47D10	480,321
(C₄×S₃).₄₈D₁₀ = C₂×S₃×C₅⋊₂C₈	φ: trivial image	240		(C4xS3).48D10	480,361
(C₄×S₃).₄₉D₁₀ = S₃×C₄.Dic₅	φ: trivial image	120	4	(C4xS3).49D10	480,363

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Extensions 1→N→G→Q→1 with N=C4×S3 and Q=D10

Extensions 1→N→G→Q→1 with N=C₄×S₃ and Q=D₁₀