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Extensions 1→N→G→Q→1 with N=C23.32D6 and Q=C2

Direct product G=N×Q with N=C23.32D6 and Q=C2
dρLabelID
C2×C23.32D6192C2xC2^3.32D6192,767

Semidirect products G=N:Q with N=C23.32D6 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.32D6⋊1C2 = C22.58(S3×D4)φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:1C2192,223
C23.32D6⋊2C2 = D6⋊C4⋊C4φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:2C2192,227
C23.32D6⋊3C2 = D6⋊C4⋊5C4φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:3C2192,228
C23.32D6⋊4C2 = D6⋊C4⋊3C4φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:4C2192,229
C23.32D6⋊5C2 = (C22×S3)⋊Q8φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:5C2192,232
C23.32D6⋊6C2 = (C2×C4).21D12φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:6C2192,233
C23.32D6⋊7C2 = C6.(C4⋊D4)φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:7C2192,234
C23.32D6⋊8C2 = (C2×C42)⋊3S3φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:8C2192,499
C23.32D6⋊9C2 = C24.55D6φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:9C2192,501
C23.32D6⋊10C2 = C24.56D6φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:10C2192,502
C23.32D6⋊11C2 = C24.15D6φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:11C2192,504
C23.32D6⋊12C2 = C24.57D6φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:12C2192,505
C23.32D6⋊13C2 = C24.17D6φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:13C2192,507
C23.32D6⋊14C2 = C24.20D6φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:14C2192,511
C23.32D6⋊15C2 = C24.21D6φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:15C2192,512
C23.32D6⋊16C2 = C24.60D6φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:16C2192,517
C23.32D6⋊17C2 = C24.25D6φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:17C2192,518
C23.32D6⋊18C2 = C24.27D6φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:18C2192,520
C23.32D6⋊19C2 = C4⋊(D6⋊C4)φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:19C2192,546
C23.32D6⋊20C2 = (C2×C12).289D4φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:20C2192,551
C23.32D6⋊21C2 = (C2×C4).45D12φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:21C2192,553
C23.32D6⋊22C2 = C24.73D6φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:22C2192,769
C23.32D6⋊23C2 = C24.74D6φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:23C2192,770
C23.32D6⋊24C2 = C24.75D6φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:24C2192,771
C23.32D6⋊25C2 = C24.76D6φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:25C2192,772
C23.32D6⋊26C2 = C22.2D24φ: C2/C1 → C2 ⊆ Out C23.32D648C2^3.32D6:26C2192,29
C23.32D6⋊27C2 = (C2×C4)⋊9D12φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:27C2192,224
C23.32D6⋊28C2 = C23⋊2Dic6φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:28C2192,506
C23.32D6⋊29C2 = C24.18D6φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:29C2192,508
C23.32D6⋊30C2 = C24.58D6φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:30C2192,509
C23.32D6⋊31C2 = C24.19D6φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:31C2192,510
C23.32D6⋊32C2 = C23⋊3D12φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:32C2192,519
C23.32D6⋊33C2 = (C2×C4)⋊3D12φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:33C2192,550
C23.32D6⋊34C2 = S3×C2.C42φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:34C2192,222
C23.32D6⋊35C2 = D6⋊C42φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:35C2192,225
C23.32D6⋊36C2 = D6⋊(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:36C2192,226
C23.32D6⋊37C2 = Dic3×C22⋊C4φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:37C2192,500
C23.32D6⋊38C2 = C24.14D6φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:38C2192,503
C23.32D6⋊39C2 = C24.23D6φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:39C2192,515
C23.32D6⋊40C2 = D6⋊C4⋊6C4φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:40C2192,548
C23.32D6⋊41C2 = (C6×D4)⋊C4φ: C2/C1 → C2 ⊆ Out C23.32D648C2^3.32D6:41C2192,96
C23.32D6⋊42C2 = D6⋊C4⋊7C4φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:42C2192,549
C23.32D6⋊43C2 = (C2×C12).290D4φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:43C2192,552
C23.32D6⋊44C2 = C24.29D6φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:44C2192,779
C23.32D6⋊45C2 = C24.31D6φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:45C2192,781
C23.32D6⋊46C2 = C24.32D6φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:46C2192,782
C23.32D6⋊47C2 = (C22×Q8)⋊9S3φ: C2/C1 → C2 ⊆ Out C23.32D696C2^3.32D6:47C2192,790
C23.32D6⋊48C2 = C4×D6⋊C4φ: trivial image96C2^3.32D6:48C2192,497
C23.32D6⋊49C2 = C4×C6.D4φ: trivial image96C2^3.32D6:49C2192,768

Non-split extensions G=N.Q with N=C23.32D6 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.32D6.1C2 = C3⋊(C42⋊8C4)φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.1C2192,209
C23.32D6.2C2 = C3⋊(C42⋊5C4)φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.2C2192,210
C23.32D6.3C2 = C6.(C4×D4)φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.3C2192,211
C23.32D6.4C2 = Dic3⋊C4⋊C4φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.4C2192,214
C23.32D6.5C2 = C2.(C12⋊Q8)φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.5C2192,216
C23.32D6.6C2 = (C2×Dic3).9D4φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.6C2192,217
C23.32D6.7C2 = (C2×C4).17D12φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.7C2192,218
C23.32D6.8C2 = (C22×C4).30D6φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.8C2192,221
C23.32D6.9C2 = C12⋊4(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.9C2192,487
C23.32D6.10C2 = (C2×Dic6)⋊7C4φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.10C2192,488
C23.32D6.11C2 = (C2×C42).6S3φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.11C2192,492
C23.32D6.12C2 = C42⋊11Dic3φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.12C2192,495
C23.32D6.13C2 = C42⋊7Dic3φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.13C2192,496
C23.32D6.14C2 = C12⋊(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.14C2192,531
C23.32D6.15C2 = C4.(D6⋊C4)φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.15C2192,532
C23.32D6.16C2 = Dic3⋊(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.16C2192,535
C23.32D6.17C2 = (C4×Dic3)⋊9C4φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.17C2192,536
C23.32D6.18C2 = (C2×C12).54D4φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.18C2192,541
C23.32D6.19C2 = (C2×Dic3).Q8φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.19C2192,542
C23.32D6.20C2 = (C2×C12).288D4φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.20C2192,544
C23.32D6.21C2 = C23.35D12φ: C2/C1 → C2 ⊆ Out C23.32D648C2^3.32D6.21C2192,26
C23.32D6.22C2 = C2.(C4×D12)φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.22C2192,212
C23.32D6.23C2 = C2.(C4×Dic6)φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.23C2192,213
C23.32D6.24C2 = (C2×C4)⋊Dic6φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.24C2192,215
C23.32D6.25C2 = (C2×C4).Dic6φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.25C2192,219
C23.32D6.26C2 = C6.(C4⋊Q8)φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.26C2192,220
C23.32D6.27C2 = C4⋊C4⋊5Dic3φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.27C2192,539
C23.32D6.28C2 = (C2×C12).53D4φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.28C2192,540
C23.32D6.29C2 = C4⋊C4⋊6Dic3φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.29C2192,543
C23.32D6.30C2 = (C2×C12)⋊Q8φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.30C2192,205
C23.32D6.31C2 = C6.(C4×Q8)φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.31C2192,206
C23.32D6.32C2 = Dic3.5C42φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.32C2192,207
C23.32D6.33C2 = Dic3⋊C42φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.33C2192,208
C23.32D6.34C2 = Dic3×C4⋊C4φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.34C2192,533
C23.32D6.35C2 = (C6×Q8)⋊C4φ: C2/C1 → C2 ⊆ Out C23.32D648C2^3.32D6.35C2192,97
C23.32D6.36C2 = C6.67(C4×D4)φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.36C2192,537
C23.32D6.37C2 = (C2×Dic3)⋊Q8φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.37C2192,538
C23.32D6.38C2 = (C2×C12).55D4φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.38C2192,545
C23.32D6.39C2 = (C6×Q8)⋊7C4φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.39C2192,788
C23.32D6.40C2 = C22.52(S3×Q8)φ: C2/C1 → C2 ⊆ Out C23.32D6192C2^3.32D6.40C2192,789
C23.32D6.41C2 = C4×Dic3⋊C4φ: trivial image192C2^3.32D6.41C2192,490
C23.32D6.42C2 = C42⋊6Dic3φ: trivial image192C2^3.32D6.42C2192,491
C23.32D6.43C2 = C4×C4⋊Dic3φ: trivial image192C2^3.32D6.43C2192,493

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