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
dρLabelID
S3×C2×C4×D5120S3xC2xC4xD5480,1086

Semidirect products G=N:Q with N=C4×S3 and Q=D10
extensionφ:Q→Out NdρLabelID
(C4×S3)⋊1D10 = D2025D6φ: D10/C5C22 ⊆ Out C4×S31204(C4xS3):1D10480,1093
(C4×S3)⋊2D10 = D2029D6φ: D10/C5C22 ⊆ Out C4×S31204+(C4xS3):2D10480,1095
(C4×S3)⋊3D10 = D2013D6φ: D10/C5C22 ⊆ Out C4×S31208-(C4xS3):3D10480,1101
(C4×S3)⋊4D10 = D2014D6φ: D10/C5C22 ⊆ Out C4×S31208+(C4xS3):4D10480,1102
(C4×S3)⋊5D10 = D1214D10φ: D10/C5C22 ⊆ Out C4×S31208+(C4xS3):5D10480,1103
(C4×S3)⋊6D10 = D2017D6φ: D10/C5C22 ⊆ Out C4×S31208+(C4xS3):6D10480,1111
(C4×S3)⋊7D10 = S3×D4×D5φ: D10/D5C2 ⊆ Out C4×S3608+(C4xS3):7D10480,1097
(C4×S3)⋊8D10 = D5×D42S3φ: D10/D5C2 ⊆ Out C4×S31208-(C4xS3):8D10480,1098
(C4×S3)⋊9D10 = D30.C23φ: D10/D5C2 ⊆ Out C4×S31208+(C4xS3):9D10480,1100
(C4×S3)⋊10D10 = D5×Q83S3φ: D10/D5C2 ⊆ Out C4×S31208+(C4xS3):10D10480,1108
(C4×S3)⋊11D10 = D2016D6φ: D10/D5C2 ⊆ Out C4×S31208-(C4xS3):11D10480,1110
(C4×S3)⋊12D10 = D5×C4○D12φ: D10/D5C2 ⊆ Out C4×S31204(C4xS3):12D10480,1090
(C4×S3)⋊13D10 = D2024D6φ: D10/D5C2 ⊆ Out C4×S31204(C4xS3):13D10480,1092
(C4×S3)⋊14D10 = C2×D205S3φ: D10/C10C2 ⊆ Out C4×S3240(C4xS3):14D10480,1074
(C4×S3)⋊15D10 = C2×D60⋊C2φ: D10/C10C2 ⊆ Out C4×S3240(C4xS3):15D10480,1081
(C4×S3)⋊16D10 = C2×S3×D20φ: D10/C10C2 ⊆ Out C4×S3120(C4xS3):16D10480,1088
(C4×S3)⋊17D10 = S3×C4○D20φ: D10/C10C2 ⊆ Out C4×S31204(C4xS3):17D10480,1091
(C4×S3)⋊18D10 = C2×D6.D10φ: D10/C10C2 ⊆ Out C4×S3240(C4xS3):18D10480,1083

Non-split extensions G=N.Q with N=C4×S3 and Q=D10
extensionφ:Q→Out NdρLabelID
(C4×S3).1D10 = C401D6φ: D10/C5C22 ⊆ Out C4×S31204+(C4xS3).1D10480,329
(C4×S3).2D10 = D40⋊S3φ: D10/C5C22 ⊆ Out C4×S31204(C4xS3).2D10480,330
(C4×S3).3D10 = Dic20⋊S3φ: D10/C5C22 ⊆ Out C4×S32404(C4xS3).3D10480,339
(C4×S3).4D10 = C40.2D6φ: D10/C5C22 ⊆ Out C4×S32404-(C4xS3).4D10480,350
(C4×S3).5D10 = D60.C22φ: D10/C5C22 ⊆ Out C4×S31208+(C4xS3).5D10480,556
(C4×S3).6D10 = C60.10C23φ: D10/C5C22 ⊆ Out C4×S32408-(C4xS3).6D10480,562
(C4×S3).7D10 = D2010D6φ: D10/C5C22 ⊆ Out C4×S31208-(C4xS3).7D10480,570
(C4×S3).8D10 = D12.9D10φ: D10/C5C22 ⊆ Out C4×S31208+(C4xS3).8D10480,572
(C4×S3).9D10 = D12⋊D10φ: D10/C5C22 ⊆ Out C4×S31208+(C4xS3).9D10480,580
(C4×S3).10D10 = Dic10.26D6φ: D10/C5C22 ⊆ Out C4×S32408-(C4xS3).10D10480,586
(C4×S3).11D10 = D20.28D6φ: D10/C5C22 ⊆ Out C4×S32408-(C4xS3).11D10480,594
(C4×S3).12D10 = C60.44C23φ: D10/C5C22 ⊆ Out C4×S32408+(C4xS3).12D10480,596
(C4×S3).13D10 = D20.39D6φ: D10/C5C22 ⊆ Out C4×S32404-(C4xS3).13D10480,1077
(C4×S3).14D10 = C30.C24φ: D10/C5C22 ⊆ Out C4×S32404(C4xS3).14D10480,1080
(C4×S3).15D10 = C15⋊2- 1+4φ: D10/C5C22 ⊆ Out C4×S32408-(C4xS3).15D10480,1096
(C4×S3).16D10 = D20.29D6φ: D10/C5C22 ⊆ Out C4×S32408-(C4xS3).16D10480,1104
(C4×S3).17D10 = C30.33C24φ: D10/C5C22 ⊆ Out C4×S32408+(C4xS3).17D10480,1105
(C4×S3).18D10 = D12.29D10φ: D10/C5C22 ⊆ Out C4×S32408-(C4xS3).18D10480,1106
(C4×S3).19D10 = S3×D4⋊D5φ: D10/D5C2 ⊆ Out C4×S31208+(C4xS3).19D10480,555
(C4×S3).20D10 = S3×D4.D5φ: D10/D5C2 ⊆ Out C4×S31208-(C4xS3).20D10480,561
(C4×S3).21D10 = D20.24D6φ: D10/D5C2 ⊆ Out C4×S32408-(C4xS3).21D10480,569
(C4×S3).22D10 = C60.19C23φ: D10/D5C2 ⊆ Out C4×S32408+(C4xS3).22D10480,571
(C4×S3).23D10 = S3×Q8⋊D5φ: D10/D5C2 ⊆ Out C4×S31208+(C4xS3).23D10480,579
(C4×S3).24D10 = S3×C5⋊Q16φ: D10/D5C2 ⊆ Out C4×S32408-(C4xS3).24D10480,585
(C4×S3).25D10 = D20.27D6φ: D10/D5C2 ⊆ Out C4×S32408-(C4xS3).25D10480,593
(C4×S3).26D10 = Dic10.27D6φ: D10/D5C2 ⊆ Out C4×S32408+(C4xS3).26D10480,595
(C4×S3).27D10 = S3×D42D5φ: D10/D5C2 ⊆ Out C4×S31208-(C4xS3).27D10480,1099
(C4×S3).28D10 = S3×Q8×D5φ: D10/D5C2 ⊆ Out C4×S31208-(C4xS3).28D10480,1107
(C4×S3).29D10 = S3×Q82D5φ: D10/D5C2 ⊆ Out C4×S31208+(C4xS3).29D10480,1109
(C4×S3).30D10 = D5×C8⋊S3φ: D10/D5C2 ⊆ Out C4×S31204(C4xS3).30D10480,320
(C4×S3).31D10 = C40⋊D6φ: D10/D5C2 ⊆ Out C4×S31204(C4xS3).31D10480,322
(C4×S3).32D10 = C40.34D6φ: D10/D5C2 ⊆ Out C4×S32404(C4xS3).32D10480,342
(C4×S3).33D10 = C40.35D6φ: D10/D5C2 ⊆ Out C4×S32404(C4xS3).33D10480,344
(C4×S3).34D10 = D12.2Dic5φ: D10/D5C2 ⊆ Out C4×S32404(C4xS3).34D10480,362
(C4×S3).35D10 = D12.Dic5φ: D10/D5C2 ⊆ Out C4×S32404(C4xS3).35D10480,364
(C4×S3).36D10 = S3×C40⋊C2φ: D10/C10C2 ⊆ Out C4×S31204(C4xS3).36D10480,327
(C4×S3).37D10 = S3×D40φ: D10/C10C2 ⊆ Out C4×S31204+(C4xS3).37D10480,328
(C4×S3).38D10 = S3×Dic20φ: D10/C10C2 ⊆ Out C4×S32404-(C4xS3).38D10480,338
(C4×S3).39D10 = D6.1D20φ: D10/C10C2 ⊆ Out C4×S32404(C4xS3).39D10480,348
(C4×S3).40D10 = D407S3φ: D10/C10C2 ⊆ Out C4×S32404-(C4xS3).40D10480,349
(C4×S3).41D10 = D1205C2φ: D10/C10C2 ⊆ Out C4×S32404+(C4xS3).41D10480,351
(C4×S3).42D10 = C2×S3×Dic10φ: D10/C10C2 ⊆ Out C4×S3240(C4xS3).42D10480,1078
(C4×S3).43D10 = C40.54D6φ: D10/C10C2 ⊆ Out C4×S32404(C4xS3).43D10480,341
(C4×S3).44D10 = C40.55D6φ: D10/C10C2 ⊆ Out C4×S32404(C4xS3).44D10480,343
(C4×S3).45D10 = C2×D6.Dic5φ: D10/C10C2 ⊆ Out C4×S3240(C4xS3).45D10480,370
(C4×S3).46D10 = S3×C8×D5φ: trivial image1204(C4xS3).46D10480,319
(C4×S3).47D10 = S3×C8⋊D5φ: trivial image1204(C4xS3).47D10480,321
(C4×S3).48D10 = C2×S3×C52C8φ: trivial image240(C4xS3).48D10480,361
(C4×S3).49D10 = S3×C4.Dic5φ: trivial image1204(C4xS3).49D10480,363

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