# Extensions 1→N→G→Q→1 with N=C10.10C42 and Q=C2

Direct product G=N×Q with N=C10.10C42 and Q=C2
dρLabelID
C2×C10.10C42320C2xC10.10C4^2320,835

Semidirect products G=N:Q with N=C10.10C42 and Q=C2
extensionφ:Q→Out NdρLabelID
C10.10C421C2 = C22.58(D4×D5)φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:1C2320,291
C10.10C422C2 = D103(C4⋊C4)φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:2C2320,295
C10.10C423C2 = C10.54(C4×D4)φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:3C2320,296
C10.10C424C2 = C10.55(C4×D4)φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:4C2320,297
C10.10C425C2 = (C2×C4).20D20φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:5C2320,300
C10.10C426C2 = (C2×C4).21D20φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:6C2320,301
C10.10C427C2 = C10.(C4⋊D4)φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:7C2320,302
C10.10C428C2 = (C2×C42)⋊D5φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:8C2320,567
C10.10C429C2 = C24.44D10φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:9C2320,569
C10.10C4210C2 = C23.42D20φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:10C2320,570
C10.10C4211C2 = C24.4D10φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:11C2320,572
C10.10C4212C2 = C24.46D10φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:12C2320,573
C10.10C4213C2 = C24.6D10φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:13C2320,575
C10.10C4214C2 = C24.9D10φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:14C2320,579
C10.10C4215C2 = C23.14D20φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:15C2320,580
C10.10C4216C2 = C23.45D20φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:16C2320,585
C10.10C4217C2 = C24.14D10φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:17C2320,586
C10.10C4218C2 = C24.16D10φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:18C2320,588
C10.10C4219C2 = D104(C4⋊C4)φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:19C2320,614
C10.10C4220C2 = (C2×C20).290D4φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:20C2320,620
C10.10C4221C2 = (C2×C20).56D4φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:21C2320,621
C10.10C4222C2 = C24.62D10φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:22C2320,837
C10.10C4223C2 = C24.63D10φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:23C2320,838
C10.10C4224C2 = C24.64D10φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:24C2320,839
C10.10C4225C2 = C24.65D10φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:25C2320,840
C10.10C4226C2 = C22.2D40φ: C2/C1C2 ⊆ Out C10.10C4280C10.10C4^2:26C2320,28
C10.10C4227C2 = (C2×C4)⋊9D20φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:27C2320,292
C10.10C4228C2 = C23⋊Dic10φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:28C2320,574
C10.10C4229C2 = C24.7D10φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:29C2320,576
C10.10C4230C2 = C24.47D10φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:30C2320,577
C10.10C4231C2 = C24.8D10φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:31C2320,578
C10.10C4232C2 = C232D20φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:32C2320,587
C10.10C4233C2 = (C2×C4)⋊3D20φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:33C2320,618
C10.10C4234C2 = D5×C2.C42φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:34C2320,290
C10.10C4235C2 = D102C42φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:35C2320,293
C10.10C4236C2 = D102(C4⋊C4)φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:36C2320,294
C10.10C4237C2 = C22⋊C4×Dic5φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:37C2320,568
C10.10C4238C2 = C24.3D10φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:38C2320,571
C10.10C4239C2 = C24.12D10φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:39C2320,583
C10.10C4240C2 = D105(C4⋊C4)φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:40C2320,616
C10.10C4241C2 = C4⋊C4⋊Dic5φ: C2/C1C2 ⊆ Out C10.10C4280C10.10C4^2:41C2320,95
C10.10C4242C2 = C10.90(C4×D4)φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:42C2320,617
C10.10C4243C2 = (C2×C20).289D4φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:43C2320,619
C10.10C4244C2 = C24.18D10φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:44C2320,847
C10.10C4245C2 = C24.20D10φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:45C2320,849
C10.10C4246C2 = C24.21D10φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:46C2320,850
C10.10C4247C2 = (C22×D5)⋊Q8φ: C2/C1C2 ⊆ Out C10.10C42160C10.10C4^2:47C2320,858
C10.10C4248C2 = C4×D10⋊C4φ: trivial image160C10.10C4^2:48C2320,565
C10.10C4249C2 = C4×C23.D5φ: trivial image160C10.10C4^2:49C2320,836

Non-split extensions G=N.Q with N=C10.10C42 and Q=C2
extensionφ:Q→Out NdρLabelID
C10.10C42.1C2 = C52(C428C4)φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.1C2320,277
C10.10C42.2C2 = C52(C425C4)φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.2C2320,278
C10.10C42.3C2 = C10.51(C4×D4)φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.3C2320,279
C10.10C42.4C2 = C10.52(C4×D4)φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.4C2320,282
C10.10C42.5C2 = C2.(C20⋊Q8)φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.5C2320,284
C10.10C42.6C2 = (C2×Dic5).Q8φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.6C2320,285
C10.10C42.7C2 = (C2×C20).28D4φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.7C2320,286
C10.10C42.8C2 = (C22×C4).D10φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.8C2320,289
C10.10C42.9C2 = C207(C4⋊C4)φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.9C2320,555
C10.10C42.10C2 = (C2×C20)⋊10Q8φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.10C2320,556
C10.10C42.11C2 = C10.92(C4×D4)φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.11C2320,560
C10.10C42.12C2 = C429Dic5φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.12C2320,563
C10.10C42.13C2 = C425Dic5φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.13C2320,564
C10.10C42.14C2 = C10.96(C4×D4)φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.14C2320,599
C10.10C42.15C2 = C204(C4⋊C4)φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.15C2320,600
C10.10C42.16C2 = (C2×Dic5)⋊6Q8φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.16C2320,601
C10.10C42.17C2 = C20.48(C4⋊C4)φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.17C2320,604
C10.10C42.18C2 = (C2×C20).287D4φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.18C2320,607
C10.10C42.19C2 = (C2×C20).288D4φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.19C2320,609
C10.10C42.20C2 = (C2×C20).54D4φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.20C2320,611
C10.10C42.21C2 = C23.30D20φ: C2/C1C2 ⊆ Out C10.10C4280C10.10C4^2.21C2320,25
C10.10C42.22C2 = C2.(C4×D20)φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.22C2320,280
C10.10C42.23C2 = C4⋊Dic515C4φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.23C2320,281
C10.10C42.24C2 = (C2×Dic5)⋊Q8φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.24C2320,283
C10.10C42.25C2 = (C2×C4).Dic10φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.25C2320,287
C10.10C42.26C2 = C10.(C4⋊Q8)φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.26C2320,288
C10.10C42.27C2 = C4⋊C45Dic5φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.27C2320,608
C10.10C42.28C2 = (C2×C20).53D4φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.28C2320,610
C10.10C42.29C2 = C206(C4⋊C4)φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.29C2320,612
C10.10C42.30C2 = (C2×C20)⋊Q8φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.30C2320,273
C10.10C42.31C2 = C10.49(C4×D4)φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.31C2320,274
C10.10C42.32C2 = Dic5.15C42φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.32C2320,275
C10.10C42.33C2 = Dic52C42φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.33C2320,276
C10.10C42.34C2 = C4⋊C4×Dic5φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.34C2320,602
C10.10C42.35C2 = C10.29C4≀C2φ: C2/C1C2 ⊆ Out C10.10C4280C10.10C4^2.35C2320,96
C10.10C42.36C2 = C10.97(C4×D4)φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.36C2320,605
C10.10C42.37C2 = (C2×C4)⋊Dic10φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.37C2320,606
C10.10C42.38C2 = (C2×C20).55D4φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.38C2320,613
C10.10C42.39C2 = C10.C22≀C2φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.39C2320,856
C10.10C42.40C2 = (Q8×C10)⋊17C4φ: C2/C1C2 ⊆ Out C10.10C42320C10.10C4^2.40C2320,857
C10.10C42.41C2 = C4×C10.D4φ: trivial image320C10.10C4^2.41C2320,558
C10.10C42.42C2 = C424Dic5φ: trivial image320C10.10C4^2.42C2320,559
C10.10C42.43C2 = C4×C4⋊Dic5φ: trivial image320C10.10C4^2.43C2320,561

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