# Extensions 1→N→G→Q→1 with N=C14.C42 and Q=C2

Direct product G=N×Q with N=C14.C42 and Q=C2
dρLabelID
C2×C14.C42448C2xC14.C4^2448,742

Semidirect products G=N:Q with N=C14.C42 and Q=C2
extensionφ:Q→Out NdρLabelID
C14.C421C2 = C22.58(D4×D7)φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:1C2448,198
C14.C422C2 = D14⋊C4⋊C4φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:2C2448,202
C14.C423C2 = D14⋊C45C4φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:3C2448,203
C14.C424C2 = C2.(C4×D28)φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:4C2448,204
C14.C425C2 = (C2×C4).20D28φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:5C2448,207
C14.C426C2 = (C2×C4).21D28φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:6C2448,208
C14.C427C2 = (C22×D7).9D4φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:7C2448,209
C14.C428C2 = (C2×C42)⋊D7φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:8C2448,474
C14.C429C2 = C24.44D14φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:9C2448,476
C14.C4210C2 = C23.42D28φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:10C2448,477
C14.C4211C2 = C24.4D14φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:11C2448,479
C14.C4212C2 = C24.46D14φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:12C2448,480
C14.C4213C2 = C24.6D14φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:13C2448,482
C14.C4214C2 = C24.9D14φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:14C2448,486
C14.C4215C2 = C24.10D14φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:15C2448,487
C14.C4216C2 = C23.45D28φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:16C2448,492
C14.C4217C2 = C24.14D14φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:17C2448,493
C14.C4218C2 = C23.16D28φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:18C2448,495
C14.C4219C2 = C4⋊(D14⋊C4)φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:19C2448,521
C14.C4220C2 = (C2×C28).290D4φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:20C2448,527
C14.C4221C2 = (C2×C4).45D28φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:21C2448,528
C14.C4222C2 = C24.62D14φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:22C2448,744
C14.C4223C2 = C24.63D14φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:23C2448,745
C14.C4224C2 = C23.27D28φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:24C2448,746
C14.C4225C2 = C23.28D28φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:25C2448,747
C14.C4226C2 = C22.2D56φ: C2/C1C2 ⊆ Out C14.C42112C14.C4^2:26C2448,27
C14.C4227C2 = (C2×C4)⋊9D28φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:27C2448,199
C14.C4228C2 = C23⋊Dic14φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:28C2448,481
C14.C4229C2 = C24.7D14φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:29C2448,483
C14.C4230C2 = C24.47D14φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:30C2448,484
C14.C4231C2 = C24.8D14φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:31C2448,485
C14.C4232C2 = C232D28φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:32C2448,494
C14.C4233C2 = (C2×C4)⋊3D28φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:33C2448,525
C14.C4234C2 = D7×C2.C42φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:34C2448,197
C14.C4235C2 = D14⋊C42φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:35C2448,200
C14.C4236C2 = D14⋊(C4⋊C4)φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:36C2448,201
C14.C4237C2 = C22⋊C4×Dic7φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:37C2448,475
C14.C4238C2 = C24.3D14φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:38C2448,478
C14.C4239C2 = C24.12D14φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:39C2448,490
C14.C4240C2 = D14⋊C46C4φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:40C2448,523
C14.C4241C2 = (D4×C14)⋊C4φ: C2/C1C2 ⊆ Out C14.C42112C14.C4^2:41C2448,94
C14.C4242C2 = D14⋊C47C4φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:42C2448,524
C14.C4243C2 = (C2×C28).289D4φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:43C2448,526
C14.C4244C2 = C24.18D14φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:44C2448,754
C14.C4245C2 = C24.20D14φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:45C2448,756
C14.C4246C2 = C24.21D14φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:46C2448,757
C14.C4247C2 = (C22×Q8)⋊D7φ: C2/C1C2 ⊆ Out C14.C42224C14.C4^2:47C2448,765
C14.C4248C2 = C4×D14⋊C4φ: trivial image224C14.C4^2:48C2448,472
C14.C4249C2 = C4×C23.D7φ: trivial image224C14.C4^2:49C2448,743

Non-split extensions G=N.Q with N=C14.C42 and Q=C2
extensionφ:Q→Out NdρLabelID
C14.C42.1C2 = C7⋊(C428C4)φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.1C2448,184
C14.C42.2C2 = C7⋊(C425C4)φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.2C2448,185
C14.C42.3C2 = Dic7⋊C4⋊C4φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.3C2448,186
C14.C42.4C2 = C14.(C4×D4)φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.4C2448,189
C14.C42.5C2 = C2.(C28⋊Q8)φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.5C2448,191
C14.C42.6C2 = (C2×Dic7).Q8φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.6C2448,192
C14.C42.7C2 = (C2×C28).28D4φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.7C2448,193
C14.C42.8C2 = (C22×C4).D14φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.8C2448,196
C14.C42.9C2 = C284(C4⋊C4)φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.9C2448,462
C14.C42.10C2 = (C2×C28)⋊10Q8φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.10C2448,463
C14.C42.11C2 = (C2×C42).D7φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.11C2448,467
C14.C42.12C2 = C429Dic7φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.12C2448,470
C14.C42.13C2 = C425Dic7φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.13C2448,471
C14.C42.14C2 = Dic7⋊(C4⋊C4)φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.14C2448,506
C14.C42.15C2 = C28⋊(C4⋊C4)φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.15C2448,507
C14.C42.16C2 = (C2×Dic7)⋊6Q8φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.16C2448,508
C14.C42.17C2 = (C4×Dic7)⋊9C4φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.17C2448,511
C14.C42.18C2 = (C2×C28).287D4φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.18C2448,514
C14.C42.19C2 = (C2×C28).288D4φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.19C2448,516
C14.C42.20C2 = (C2×C28).54D4φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.20C2448,518
C14.C42.21C2 = C23.30D28φ: C2/C1C2 ⊆ Out C14.C42112C14.C4^2.21C2448,24
C14.C42.22C2 = C4⋊Dic77C4φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.22C2448,187
C14.C42.23C2 = C4⋊Dic78C4φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.23C2448,188
C14.C42.24C2 = (C2×Dic7)⋊Q8φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.24C2448,190
C14.C42.25C2 = (C2×C4).Dic14φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.25C2448,194
C14.C42.26C2 = C14.(C4⋊Q8)φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.26C2448,195
C14.C42.27C2 = C4⋊C45Dic7φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.27C2448,515
C14.C42.28C2 = (C2×C4).44D28φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.28C2448,517
C14.C42.29C2 = C4⋊(C4⋊Dic7)φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.29C2448,519
C14.C42.30C2 = (C2×C28)⋊Q8φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.30C2448,180
C14.C42.31C2 = C14.(C4×Q8)φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.31C2448,181
C14.C42.32C2 = Dic7.5C42φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.32C2448,182
C14.C42.33C2 = Dic7⋊C42φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.33C2448,183
C14.C42.34C2 = C4⋊C4×Dic7φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.34C2448,509
C14.C42.35C2 = C4⋊C4⋊Dic7φ: C2/C1C2 ⊆ Out C14.C42112C14.C4^2.35C2448,95
C14.C42.36C2 = C22.23(Q8×D7)φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.36C2448,512
C14.C42.37C2 = (C2×C4)⋊Dic14φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.37C2448,513
C14.C42.38C2 = (C2×C28).55D4φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.38C2448,520
C14.C42.39C2 = C14.C22≀C2φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.39C2448,763
C14.C42.40C2 = (Q8×C14)⋊7C4φ: C2/C1C2 ⊆ Out C14.C42448C14.C4^2.40C2448,764
C14.C42.41C2 = C4×Dic7⋊C4φ: trivial image448C14.C4^2.41C2448,465
C14.C42.42C2 = C424Dic7φ: trivial image448C14.C4^2.42C2448,466
C14.C42.43C2 = C4×C4⋊Dic7φ: trivial image448C14.C4^2.43C2448,468

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