# Extensions 1→N→G→Q→1 with N=C6.C42 and Q=C2

Direct product G=N×Q with N=C6.C42 and Q=C2
dρLabelID
C2×C6.C42192C2xC6.C4^2192,767

Semidirect products G=N:Q with N=C6.C42 and Q=C2
extensionφ:Q→Out NdρLabelID
C6.C421C2 = C22.58(S3×D4)φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:1C2192,223
C6.C422C2 = D6⋊C4⋊C4φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:2C2192,227
C6.C423C2 = D6⋊C45C4φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:3C2192,228
C6.C424C2 = D6⋊C43C4φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:4C2192,229
C6.C425C2 = (C22×S3)⋊Q8φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:5C2192,232
C6.C426C2 = (C2×C4).21D12φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:6C2192,233
C6.C427C2 = C6.(C4⋊D4)φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:7C2192,234
C6.C428C2 = (C2×C42)⋊3S3φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:8C2192,499
C6.C429C2 = C24.55D6φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:9C2192,501
C6.C4210C2 = C24.56D6φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:10C2192,502
C6.C4211C2 = C24.15D6φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:11C2192,504
C6.C4212C2 = C24.57D6φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:12C2192,505
C6.C4213C2 = C24.17D6φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:13C2192,507
C6.C4214C2 = C24.20D6φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:14C2192,511
C6.C4215C2 = C24.21D6φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:15C2192,512
C6.C4216C2 = C24.60D6φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:16C2192,517
C6.C4217C2 = C24.25D6φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:17C2192,518
C6.C4218C2 = C24.27D6φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:18C2192,520
C6.C4219C2 = C4⋊(D6⋊C4)φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:19C2192,546
C6.C4220C2 = (C2×C12).289D4φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:20C2192,551
C6.C4221C2 = (C2×C12).56D4φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:21C2192,553
C6.C4222C2 = C24.73D6φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:22C2192,769
C6.C4223C2 = C24.74D6φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:23C2192,770
C6.C4224C2 = C24.75D6φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:24C2192,771
C6.C4225C2 = C24.76D6φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:25C2192,772
C6.C4226C2 = C22.2D24φ: C2/C1C2 ⊆ Out C6.C4248C6.C4^2:26C2192,29
C6.C4227C2 = (C2×C4)⋊9D12φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:27C2192,224
C6.C4228C2 = C232Dic6φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:28C2192,506
C6.C4229C2 = C24.18D6φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:29C2192,508
C6.C4230C2 = C24.58D6φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:30C2192,509
C6.C4231C2 = C24.19D6φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:31C2192,510
C6.C4232C2 = C233D12φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:32C2192,519
C6.C4233C2 = (C2×C4)⋊3D12φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:33C2192,550
C6.C4234C2 = S3×C2.C42φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:34C2192,222
C6.C4235C2 = D6⋊C42φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:35C2192,225
C6.C4236C2 = D6⋊(C4⋊C4)φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:36C2192,226
C6.C4237C2 = Dic3×C22⋊C4φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:37C2192,500
C6.C4238C2 = C24.14D6φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:38C2192,503
C6.C4239C2 = C24.23D6φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:39C2192,515
C6.C4240C2 = D6⋊C46C4φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:40C2192,548
C6.C4241C2 = (C6×D4)⋊C4φ: C2/C1C2 ⊆ Out C6.C4248C6.C4^2:41C2192,96
C6.C4242C2 = D6⋊C47C4φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:42C2192,549
C6.C4243C2 = (C2×C12).290D4φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:43C2192,552
C6.C4244C2 = C24.29D6φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:44C2192,779
C6.C4245C2 = C24.31D6φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:45C2192,781
C6.C4246C2 = C24.32D6φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:46C2192,782
C6.C4247C2 = (C22×Q8)⋊9S3φ: C2/C1C2 ⊆ Out C6.C4296C6.C4^2:47C2192,790
C6.C4248C2 = C4×D6⋊C4φ: trivial image96C6.C4^2:48C2192,497
C6.C4249C2 = C4×C6.D4φ: trivial image96C6.C4^2:49C2192,768

Non-split extensions G=N.Q with N=C6.C42 and Q=C2
extensionφ:Q→Out NdρLabelID
C6.C42.1C2 = C3⋊(C428C4)φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.1C2192,209
C6.C42.2C2 = C3⋊(C425C4)φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.2C2192,210
C6.C42.3C2 = C6.(C4×D4)φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.3C2192,211
C6.C42.4C2 = Dic3⋊C4⋊C4φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.4C2192,214
C6.C42.5C2 = C6.(C4⋊Q8)φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.5C2192,216
C6.C42.6C2 = (C2×Dic3).9D4φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.6C2192,217
C6.C42.7C2 = (C2×C4).17D12φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.7C2192,218
C6.C42.8C2 = (C22×C4).30D6φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.8C2192,221
C6.C42.9C2 = C124(C4⋊C4)φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.9C2192,487
C6.C42.10C2 = (C2×Dic6)⋊7C4φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.10C2192,488
C6.C42.11C2 = (C2×C42).6S3φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.11C2192,492
C6.C42.12C2 = C4211Dic3φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.12C2192,495
C6.C42.13C2 = C427Dic3φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.13C2192,496
C6.C42.14C2 = C12⋊(C4⋊C4)φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.14C2192,531
C6.C42.15C2 = C4.(D6⋊C4)φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.15C2192,532
C6.C42.16C2 = Dic3⋊(C4⋊C4)φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.16C2192,535
C6.C42.17C2 = (C4×Dic3)⋊9C4φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.17C2192,536
C6.C42.18C2 = (C2×C12).54D4φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.18C2192,541
C6.C42.19C2 = (C2×Dic3).Q8φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.19C2192,542
C6.C42.20C2 = (C2×C12).288D4φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.20C2192,544
C6.C42.21C2 = C23.35D12φ: C2/C1C2 ⊆ Out C6.C4248C6.C4^2.21C2192,26
C6.C42.22C2 = C2.(C4×D12)φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.22C2192,212
C6.C42.23C2 = C2.(C4×Dic6)φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.23C2192,213
C6.C42.24C2 = (C2×C4)⋊Dic6φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.24C2192,215
C6.C42.25C2 = (C2×C4).Dic6φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.25C2192,219
C6.C42.26C2 = (C22×C4).85D6φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.26C2192,220
C6.C42.27C2 = C4⋊C45Dic3φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.27C2192,539
C6.C42.28C2 = (C2×C4).44D12φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.28C2192,540
C6.C42.29C2 = C4⋊C46Dic3φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.29C2192,543
C6.C42.30C2 = (C2×C12)⋊Q8φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.30C2192,205
C6.C42.31C2 = C6.(C4×Q8)φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.31C2192,206
C6.C42.32C2 = Dic3.5C42φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.32C2192,207
C6.C42.33C2 = Dic3⋊C42φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.33C2192,208
C6.C42.34C2 = Dic3×C4⋊C4φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.34C2192,533
C6.C42.35C2 = (C6×Q8)⋊C4φ: C2/C1C2 ⊆ Out C6.C4248C6.C4^2.35C2192,97
C6.C42.36C2 = C6.67(C4×D4)φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.36C2192,537
C6.C42.37C2 = (C2×Dic3)⋊Q8φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.37C2192,538
C6.C42.38C2 = (C2×C12).55D4φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.38C2192,545
C6.C42.39C2 = (C6×Q8)⋊7C4φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.39C2192,788
C6.C42.40C2 = C22.52(S3×Q8)φ: C2/C1C2 ⊆ Out C6.C42192C6.C4^2.40C2192,789
C6.C42.41C2 = C4×Dic3⋊C4φ: trivial image192C6.C4^2.41C2192,490
C6.C42.42C2 = C426Dic3φ: trivial image192C6.C4^2.42C2192,491
C6.C42.43C2 = C4×C4⋊Dic3φ: trivial image192C6.C4^2.43C2192,493

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