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Extensions 1→N→G→Q→1 with N=C3xC42.C2 and Q=C2

Direct product G=NxQ with N=C3xC42.C2 and Q=C2
dρLabelID
C6xC42.C2192C6xC4^2.C2192,1416

Semidirect products G=N:Q with N=C3xC42.C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3xC42.C2):1C2 = D12.4Q8φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):1C2192,625
(C3xC42.C2):2C2 = C42.70D6φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):2C2192,626
(C3xC42.C2):3C2 = C42.216D6φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):3C2192,627
(C3xC42.C2):4C2 = S3xC42.C2φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):4C2192,1246
(C3xC42.C2):5C2 = C42.236D6φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):5C2192,1247
(C3xC42.C2):6C2 = C42.148D6φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):6C2192,1248
(C3xC42.C2):7C2 = D12:7Q8φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):7C2192,1249
(C3xC42.C2):8C2 = C42.237D6φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):8C2192,1250
(C3xC42.C2):9C2 = C42.150D6φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):9C2192,1251
(C3xC42.C2):10C2 = C42.151D6φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):10C2192,1252
(C3xC42.C2):11C2 = C42.152D6φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):11C2192,1253
(C3xC42.C2):12C2 = C42.153D6φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):12C2192,1254
(C3xC42.C2):13C2 = C42.154D6φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):13C2192,1255
(C3xC42.C2):14C2 = C42.155D6φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):14C2192,1256
(C3xC42.C2):15C2 = C42.156D6φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):15C2192,1257
(C3xC42.C2):16C2 = C42.157D6φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):16C2192,1258
(C3xC42.C2):17C2 = C42.158D6φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):17C2192,1259
(C3xC42.C2):18C2 = C3xD4.Q8φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):18C2192,911
(C3xC42.C2):19C2 = C3xC42.78C22φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):19C2192,921
(C3xC42.C2):20C2 = C3xC42.29C22φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):20C2192,923
(C3xC42.C2):21C2 = C3xC22.33C24φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):21C2192,1428
(C3xC42.C2):22C2 = C3xC22.34C24φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):22C2192,1429
(C3xC42.C2):23C2 = C3xC22.35C24φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):23C2192,1430
(C3xC42.C2):24C2 = C3xC23.41C23φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):24C2192,1433
(C3xC42.C2):25C2 = C3xC22.46C24φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):25C2192,1441
(C3xC42.C2):26C2 = C3xC22.47C24φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):26C2192,1442
(C3xC42.C2):27C2 = C3xD4:3Q8φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):27C2192,1443
(C3xC42.C2):28C2 = C3xC22.56C24φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):28C2192,1451
(C3xC42.C2):29C2 = C3xC22.57C24φ: C2/C1 → C2 ⊆ Out C3xC42.C296(C3xC4^2.C2):29C2192,1452
(C3xC42.C2):30C2 = C3xC23.36C23φ: trivial image96(C3xC4^2.C2):30C2192,1418
(C3xC42.C2):31C2 = C3xC23.37C23φ: trivial image96(C3xC4^2.C2):31C2192,1422

Non-split extensions G=N.Q with N=C3xC42.C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3xC42.C2).1C2 = Dic6.4Q8φ: C2/C1 → C2 ⊆ Out C3xC42.C2192(C3xC4^2.C2).1C2192,622
(C3xC42.C2).2C2 = C42.68D6φ: C2/C1 → C2 ⊆ Out C3xC42.C2192(C3xC4^2.C2).2C2192,623
(C3xC42.C2).3C2 = C42.215D6φ: C2/C1 → C2 ⊆ Out C3xC42.C2192(C3xC4^2.C2).3C2192,624
(C3xC42.C2).4C2 = C42.71D6φ: C2/C1 → C2 ⊆ Out C3xC42.C2192(C3xC4^2.C2).4C2192,628
(C3xC42.C2).5C2 = Dic6:7Q8φ: C2/C1 → C2 ⊆ Out C3xC42.C2192(C3xC4^2.C2).5C2192,1244
(C3xC42.C2).6C2 = C42.147D6φ: C2/C1 → C2 ⊆ Out C3xC42.C2192(C3xC4^2.C2).6C2192,1245
(C3xC42.C2).7C2 = C42.8D6φ: C2/C1 → C2 ⊆ Out C3xC42.C2192(C3xC4^2.C2).7C2192,102
(C3xC42.C2).8C2 = C3xC42.2C22φ: C2/C1 → C2 ⊆ Out C3xC42.C2192(C3xC4^2.C2).8C2192,136
(C3xC42.C2).9C2 = C3xQ8.Q8φ: C2/C1 → C2 ⊆ Out C3xC42.C2192(C3xC4^2.C2).9C2192,912
(C3xC42.C2).10C2 = C3xC42.30C22φ: C2/C1 → C2 ⊆ Out C3xC42.C2192(C3xC4^2.C2).10C2192,924
(C3xC42.C2).11C2 = C3xC8.5Q8φ: C2/C1 → C2 ⊆ Out C3xC42.C2192(C3xC4^2.C2).11C2192,932
(C3xC42.C2).12C2 = C3xC8:Q8φ: C2/C1 → C2 ⊆ Out C3xC42.C2192(C3xC4^2.C2).12C2192,934
(C3xC42.C2).13C2 = C3xQ8:3Q8φ: C2/C1 → C2 ⊆ Out C3xC42.C2192(C3xC4^2.C2).13C2192,1446
(C3xC42.C2).14C2 = C3xC22.58C24φ: C2/C1 → C2 ⊆ Out C3xC42.C2192(C3xC4^2.C2).14C2192,1453

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