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Extensions 1→N→G→Q→1 with N=S3xC22xC4 and Q=C2

Direct product G=NxQ with N=S3xC22xC4 and Q=C2
dρLabelID
S3xC23xC496S3xC2^3xC4192,1511

Semidirect products G=N:Q with N=S3xC22xC4 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3xC22xC4):1C2 = C2xC12:D4φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4):1C2192,1065
(S3xC22xC4):2C2 = C42:10D6φ: C2/C1 → C2 ⊆ Out S3xC22xC448(S3xC2^2xC4):2C2192,1083
(S3xC22xC4):3C2 = S3xC4:D4φ: C2/C1 → C2 ⊆ Out S3xC22xC448(S3xC2^2xC4):3C2192,1163
(S3xC22xC4):4C2 = C4:C4:21D6φ: C2/C1 → C2 ⊆ Out S3xC22xC448(S3xC2^2xC4):4C2192,1165
(S3xC22xC4):5C2 = C4:C4:26D6φ: C2/C1 → C2 ⊆ Out S3xC22xC448(S3xC2^2xC4):5C2192,1186
(S3xC22xC4):6C2 = C2xD6:3D4φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4):6C2192,1359
(S3xC22xC4):7C2 = (C2xD4):43D6φ: C2/C1 → C2 ⊆ Out S3xC22xC448(S3xC2^2xC4):7C2192,1387
(S3xC22xC4):8C2 = C22xS3xD4φ: C2/C1 → C2 ⊆ Out S3xC22xC448(S3xC2^2xC4):8C2192,1514
(S3xC22xC4):9C2 = C22xD4:2S3φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4):9C2192,1515
(S3xC22xC4):10C2 = C22xQ8:3S3φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4):10C2192,1518
(S3xC22xC4):11C2 = C2xS3xC4oD4φ: C2/C1 → C2 ⊆ Out S3xC22xC448(S3xC2^2xC4):11C2192,1520
(S3xC22xC4):12C2 = (C2xC4):9D12φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4):12C2192,224
(S3xC22xC4):13C2 = C24.23D6φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4):13C2192,515
(S3xC22xC4):14C2 = C2xC4xD12φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4):14C2192,1032
(S3xC22xC4):15C2 = C2xS3xC22:C4φ: C2/C1 → C2 ⊆ Out S3xC22xC448(S3xC2^2xC4):15C2192,1043
(S3xC22xC4):16C2 = C2xDic3:4D4φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4):16C2192,1044
(S3xC22xC4):17C2 = C2xC23.9D6φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4):17C2192,1047
(S3xC22xC4):18C2 = C2xDic3:D4φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4):18C2192,1048
(S3xC22xC4):19C2 = C2xDic3:5D4φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4):19C2192,1062
(S3xC22xC4):20C2 = C2xD6.D4φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4):20C2192,1064
(S3xC22xC4):21C2 = C4xS3xD4φ: C2/C1 → C2 ⊆ Out S3xC22xC448(S3xC2^2xC4):21C2192,1103
(S3xC22xC4):22C2 = C42:14D6φ: C2/C1 → C2 ⊆ Out S3xC22xC448(S3xC2^2xC4):22C2192,1106
(S3xC22xC4):23C2 = S3xC22.D4φ: C2/C1 → C2 ⊆ Out S3xC22xC448(S3xC2^2xC4):23C2192,1211
(S3xC22xC4):24C2 = C4:C4:28D6φ: C2/C1 → C2 ⊆ Out S3xC22xC448(S3xC2^2xC4):24C2192,1215
(S3xC22xC4):25C2 = C2xC4xC3:D4φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4):25C2192,1347
(S3xC22xC4):26C2 = C22xC4oD12φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4):26C2192,1513

Non-split extensions G=N.Q with N=S3xC22xC4 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3xC22xC4).1C2 = C4:(D6:C4)φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4).1C2192,546
(S3xC22xC4).2C2 = D6:6M4(2)φ: C2/C1 → C2 ⊆ Out S3xC22xC448(S3xC2^2xC4).2C2192,685
(S3xC22xC4).3C2 = C2xS3xC4:C4φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4).3C2192,1060
(S3xC22xC4).4C2 = C2xC4:C4:7S3φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4).4C2192,1061
(S3xC22xC4).5C2 = C2xC4.D12φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4).5C2192,1068
(S3xC22xC4).6C2 = S3xC42:C2φ: C2/C1 → C2 ⊆ Out S3xC22xC448(S3xC2^2xC4).6C2192,1079
(S3xC22xC4).7C2 = S3xC22:Q8φ: C2/C1 → C2 ⊆ Out S3xC22xC448(S3xC2^2xC4).7C2192,1185
(S3xC22xC4).8C2 = C2xS3xM4(2)φ: C2/C1 → C2 ⊆ Out S3xC22xC448(S3xC2^2xC4).8C2192,1302
(S3xC22xC4).9C2 = C2xD6:3Q8φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4).9C2192,1372
(S3xC22xC4).10C2 = C22xS3xQ8φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4).10C2192,1517
(S3xC22xC4).11C2 = S3xC2.C42φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4).11C2192,222
(S3xC22xC4).12C2 = C22.58(S3xD4)φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4).12C2192,223
(S3xC22xC4).13C2 = D6:C42φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4).13C2192,225
(S3xC22xC4).14C2 = D6:(C4:C4)φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4).14C2192,226
(S3xC22xC4).15C2 = D6:C4:C4φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4).15C2192,227
(S3xC22xC4).16C2 = S3xC22:C8φ: C2/C1 → C2 ⊆ Out S3xC22xC448(S3xC2^2xC4).16C2192,283
(S3xC22xC4).17C2 = D6:M4(2)φ: C2/C1 → C2 ⊆ Out S3xC22xC448(S3xC2^2xC4).17C2192,285
(S3xC22xC4).18C2 = C4xD6:C4φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4).18C2192,497
(S3xC22xC4).19C2 = D6:C4:6C4φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4).19C2192,548
(S3xC22xC4).20C2 = C2xD6:C8φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4).20C2192,667
(S3xC22xC4).21C2 = C2xC42:2S3φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4).21C2192,1031
(S3xC22xC4).22C2 = C2xD6:Q8φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4).22C2192,1067
(S3xC22xC4).23C2 = C22xC8:S3φ: C2/C1 → C2 ⊆ Out S3xC22xC496(S3xC2^2xC4).23C2192,1296
(S3xC22xC4).24C2 = S3xC2xC42φ: trivial image96(S3xC2^2xC4).24C2192,1030
(S3xC22xC4).25C2 = S3xC22xC8φ: trivial image96(S3xC2^2xC4).25C2192,1295

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