Extensions 1→N→G→Q→1 with N=C3xC4.4D4 and Q=C2

Direct product G=NxQ with N=C3xC4.4D4 and Q=C2
dρLabelID
C6xC4.4D496C6xC4.4D4192,1415

Semidirect products G=N:Q with N=C3xC4.4D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3xC4.4D4):1C2 = D12.23D4φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4):1C2192,616
(C3xC4.4D4):2C2 = C42.64D6φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4):2C2192,617
(C3xC4.4D4):3C2 = C42.214D6φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4):3C2192,618
(C3xC4.4D4):4C2 = C42:7D6φ: C2/C1C2 ⊆ Out C3xC4.4D4484(C3xC4.4D4):4C2192,620
(C3xC4.4D4):5C2 = D12.14D4φ: C2/C1C2 ⊆ Out C3xC4.4D4484(C3xC4.4D4):5C2192,621
(C3xC4.4D4):6C2 = C42.233D6φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4):6C2192,1227
(C3xC4.4D4):7C2 = C42.137D6φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4):7C2192,1228
(C3xC4.4D4):8C2 = C42.138D6φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4):8C2192,1229
(C3xC4.4D4):9C2 = S3xC4.4D4φ: C2/C1C2 ⊆ Out C3xC4.4D448(C3xC4.4D4):9C2192,1232
(C3xC4.4D4):10C2 = C42:20D6φ: C2/C1C2 ⊆ Out C3xC4.4D448(C3xC4.4D4):10C2192,1233
(C3xC4.4D4):11C2 = C42.141D6φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4):11C2192,1234
(C3xC4.4D4):12C2 = D12:10D4φ: C2/C1C2 ⊆ Out C3xC4.4D448(C3xC4.4D4):12C2192,1235
(C3xC4.4D4):13C2 = Dic6:10D4φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4):13C2192,1236
(C3xC4.4D4):14C2 = C42:22D6φ: C2/C1C2 ⊆ Out C3xC4.4D448(C3xC4.4D4):14C2192,1237
(C3xC4.4D4):15C2 = C42:23D6φ: C2/C1C2 ⊆ Out C3xC4.4D448(C3xC4.4D4):15C2192,1238
(C3xC4.4D4):16C2 = C42.234D6φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4):16C2192,1239
(C3xC4.4D4):17C2 = C42.143D6φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4):17C2192,1240
(C3xC4.4D4):18C2 = C42.144D6φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4):18C2192,1241
(C3xC4.4D4):19C2 = C42:24D6φ: C2/C1C2 ⊆ Out C3xC4.4D448(C3xC4.4D4):19C2192,1242
(C3xC4.4D4):20C2 = C42.145D6φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4):20C2192,1243
(C3xC4.4D4):21C2 = C3xD4.8D4φ: C2/C1C2 ⊆ Out C3xC4.4D4484(C3xC4.4D4):21C2192,887
(C3xC4.4D4):22C2 = C3xD4.9D4φ: C2/C1C2 ⊆ Out C3xC4.4D4484(C3xC4.4D4):22C2192,888
(C3xC4.4D4):23C2 = C3xD4.2D4φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4):23C2192,896
(C3xC4.4D4):24C2 = C3xC8.12D4φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4):24C2192,928
(C3xC4.4D4):25C2 = C3xC8:3D4φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4):25C2192,929
(C3xC4.4D4):26C2 = C3xC22.29C24φ: C2/C1C2 ⊆ Out C3xC4.4D448(C3xC4.4D4):26C2192,1424
(C3xC4.4D4):27C2 = C3xC23.38C23φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4):27C2192,1425
(C3xC4.4D4):28C2 = C3xC22.32C24φ: C2/C1C2 ⊆ Out C3xC4.4D448(C3xC4.4D4):28C2192,1427
(C3xC4.4D4):29C2 = C3xC22.36C24φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4):29C2192,1431
(C3xC4.4D4):30C2 = C3xD4:5D4φ: C2/C1C2 ⊆ Out C3xC4.4D448(C3xC4.4D4):30C2192,1435
(C3xC4.4D4):31C2 = C3xQ8:5D4φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4):31C2192,1437
(C3xC4.4D4):32C2 = C3xC22.45C24φ: C2/C1C2 ⊆ Out C3xC4.4D448(C3xC4.4D4):32C2192,1440
(C3xC4.4D4):33C2 = C3xC22.49C24φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4):33C2192,1444
(C3xC4.4D4):34C2 = C3xC22.53C24φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4):34C2192,1448
(C3xC4.4D4):35C2 = C3xC24:C22φ: C2/C1C2 ⊆ Out C3xC4.4D448(C3xC4.4D4):35C2192,1450
(C3xC4.4D4):36C2 = C3xC22.56C24φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4):36C2192,1451
(C3xC4.4D4):37C2 = C3xC23.36C23φ: trivial image96(C3xC4.4D4):37C2192,1418
(C3xC4.4D4):38C2 = C3xC22.26C24φ: trivial image96(C3xC4.4D4):38C2192,1421

Non-split extensions G=N.Q with N=C3xC4.4D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3xC4.4D4).1C2 = C42.Dic3φ: C2/C1C2 ⊆ Out C3xC4.4D4484(C3xC4.4D4).1C2192,101
(C3xC4.4D4).2C2 = C42.61D6φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4).2C2192,613
(C3xC4.4D4).3C2 = C42.62D6φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4).3C2192,614
(C3xC4.4D4).4C2 = C42.213D6φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4).4C2192,615
(C3xC4.4D4).5C2 = C42.65D6φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4).5C2192,619
(C3xC4.4D4).6C2 = C42.139D6φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4).6C2192,1230
(C3xC4.4D4).7C2 = C42.140D6φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4).7C2192,1231
(C3xC4.4D4).8C2 = C42.7D6φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4).8C2192,99
(C3xC4.4D4).9C2 = C42:4Dic3φ: C2/C1C2 ⊆ Out C3xC4.4D4484(C3xC4.4D4).9C2192,100
(C3xC4.4D4).10C2 = C3xC42.C22φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4).10C2192,135
(C3xC4.4D4).11C2 = C3xC42:3C4φ: C2/C1C2 ⊆ Out C3xC4.4D4484(C3xC4.4D4).11C2192,160
(C3xC4.4D4).12C2 = C3xC42.C4φ: C2/C1C2 ⊆ Out C3xC4.4D4484(C3xC4.4D4).12C2192,161
(C3xC4.4D4).13C2 = C3xQ8.D4φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4).13C2192,897
(C3xC4.4D4).14C2 = C3xC42.78C22φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4).14C2192,921
(C3xC4.4D4).15C2 = C3xC42.28C22φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4).15C2192,922
(C3xC4.4D4).16C2 = C3xC8.2D4φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4).16C2192,930
(C3xC4.4D4).17C2 = C3xC22.50C24φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4).17C2192,1445
(C3xC4.4D4).18C2 = C3xC22.57C24φ: C2/C1C2 ⊆ Out C3xC4.4D496(C3xC4.4D4).18C2192,1452

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