# Extensions 1→N→G→Q→1 with N=S3×C22×C4 and Q=C2

Direct product G=N×Q with N=S3×C22×C4 and Q=C2
dρLabelID
S3×C23×C496S3xC2^3xC4192,1511

Semidirect products G=N:Q with N=S3×C22×C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C22×C4)⋊1C2 = C2×C12⋊D4φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4):1C2192,1065
(S3×C22×C4)⋊2C2 = C4210D6φ: C2/C1C2 ⊆ Out S3×C22×C448(S3xC2^2xC4):2C2192,1083
(S3×C22×C4)⋊3C2 = S3×C4⋊D4φ: C2/C1C2 ⊆ Out S3×C22×C448(S3xC2^2xC4):3C2192,1163
(S3×C22×C4)⋊4C2 = C4⋊C421D6φ: C2/C1C2 ⊆ Out S3×C22×C448(S3xC2^2xC4):4C2192,1165
(S3×C22×C4)⋊5C2 = C4⋊C426D6φ: C2/C1C2 ⊆ Out S3×C22×C448(S3xC2^2xC4):5C2192,1186
(S3×C22×C4)⋊6C2 = C2×D63D4φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4):6C2192,1359
(S3×C22×C4)⋊7C2 = (C2×D4)⋊43D6φ: C2/C1C2 ⊆ Out S3×C22×C448(S3xC2^2xC4):7C2192,1387
(S3×C22×C4)⋊8C2 = C22×S3×D4φ: C2/C1C2 ⊆ Out S3×C22×C448(S3xC2^2xC4):8C2192,1514
(S3×C22×C4)⋊9C2 = C22×D42S3φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4):9C2192,1515
(S3×C22×C4)⋊10C2 = C22×Q83S3φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4):10C2192,1518
(S3×C22×C4)⋊11C2 = C2×S3×C4○D4φ: C2/C1C2 ⊆ Out S3×C22×C448(S3xC2^2xC4):11C2192,1520
(S3×C22×C4)⋊12C2 = (C2×C4)⋊9D12φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4):12C2192,224
(S3×C22×C4)⋊13C2 = C24.23D6φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4):13C2192,515
(S3×C22×C4)⋊14C2 = C2×C4×D12φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4):14C2192,1032
(S3×C22×C4)⋊15C2 = C2×S3×C22⋊C4φ: C2/C1C2 ⊆ Out S3×C22×C448(S3xC2^2xC4):15C2192,1043
(S3×C22×C4)⋊16C2 = C2×Dic34D4φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4):16C2192,1044
(S3×C22×C4)⋊17C2 = C2×C23.9D6φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4):17C2192,1047
(S3×C22×C4)⋊18C2 = C2×Dic3⋊D4φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4):18C2192,1048
(S3×C22×C4)⋊19C2 = C2×Dic35D4φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4):19C2192,1062
(S3×C22×C4)⋊20C2 = C2×D6.D4φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4):20C2192,1064
(S3×C22×C4)⋊21C2 = C4×S3×D4φ: C2/C1C2 ⊆ Out S3×C22×C448(S3xC2^2xC4):21C2192,1103
(S3×C22×C4)⋊22C2 = C4214D6φ: C2/C1C2 ⊆ Out S3×C22×C448(S3xC2^2xC4):22C2192,1106
(S3×C22×C4)⋊23C2 = S3×C22.D4φ: C2/C1C2 ⊆ Out S3×C22×C448(S3xC2^2xC4):23C2192,1211
(S3×C22×C4)⋊24C2 = C4⋊C428D6φ: C2/C1C2 ⊆ Out S3×C22×C448(S3xC2^2xC4):24C2192,1215
(S3×C22×C4)⋊25C2 = C2×C4×C3⋊D4φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4):25C2192,1347
(S3×C22×C4)⋊26C2 = C22×C4○D12φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4):26C2192,1513

Non-split extensions G=N.Q with N=S3×C22×C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C22×C4).1C2 = C4⋊(D6⋊C4)φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4).1C2192,546
(S3×C22×C4).2C2 = D66M4(2)φ: C2/C1C2 ⊆ Out S3×C22×C448(S3xC2^2xC4).2C2192,685
(S3×C22×C4).3C2 = C2×S3×C4⋊C4φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4).3C2192,1060
(S3×C22×C4).4C2 = C2×C4⋊C47S3φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4).4C2192,1061
(S3×C22×C4).5C2 = C2×C4.D12φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4).5C2192,1068
(S3×C22×C4).6C2 = S3×C42⋊C2φ: C2/C1C2 ⊆ Out S3×C22×C448(S3xC2^2xC4).6C2192,1079
(S3×C22×C4).7C2 = S3×C22⋊Q8φ: C2/C1C2 ⊆ Out S3×C22×C448(S3xC2^2xC4).7C2192,1185
(S3×C22×C4).8C2 = C2×S3×M4(2)φ: C2/C1C2 ⊆ Out S3×C22×C448(S3xC2^2xC4).8C2192,1302
(S3×C22×C4).9C2 = C2×D63Q8φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4).9C2192,1372
(S3×C22×C4).10C2 = C22×S3×Q8φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4).10C2192,1517
(S3×C22×C4).11C2 = S3×C2.C42φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4).11C2192,222
(S3×C22×C4).12C2 = C22.58(S3×D4)φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4).12C2192,223
(S3×C22×C4).13C2 = D6⋊C42φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4).13C2192,225
(S3×C22×C4).14C2 = D6⋊(C4⋊C4)φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4).14C2192,226
(S3×C22×C4).15C2 = D6⋊C4⋊C4φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4).15C2192,227
(S3×C22×C4).16C2 = S3×C22⋊C8φ: C2/C1C2 ⊆ Out S3×C22×C448(S3xC2^2xC4).16C2192,283
(S3×C22×C4).17C2 = D6⋊M4(2)φ: C2/C1C2 ⊆ Out S3×C22×C448(S3xC2^2xC4).17C2192,285
(S3×C22×C4).18C2 = C4×D6⋊C4φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4).18C2192,497
(S3×C22×C4).19C2 = D6⋊C46C4φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4).19C2192,548
(S3×C22×C4).20C2 = C2×D6⋊C8φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4).20C2192,667
(S3×C22×C4).21C2 = C2×C422S3φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4).21C2192,1031
(S3×C22×C4).22C2 = C2×D6⋊Q8φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4).22C2192,1067
(S3×C22×C4).23C2 = C22×C8⋊S3φ: C2/C1C2 ⊆ Out S3×C22×C496(S3xC2^2xC4).23C2192,1296
(S3×C22×C4).24C2 = S3×C2×C42φ: trivial image96(S3xC2^2xC4).24C2192,1030
(S3×C22×C4).25C2 = S3×C22×C8φ: trivial image96(S3xC2^2xC4).25C2192,1295

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