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Extensions 1→N→G→Q→1 with N=C22.7C42 and Q=C2

Direct product G=N×Q with N=C22.7C42 and Q=C2
dρLabelID
C2×C22.7C42128C2xC2^2.7C4^2128,459

Semidirect products G=N:Q with N=C22.7C42 and Q=C2
extensionφ:Q→Out NdρLabelID
C22.7C42⋊1C2 = (C2×C4).98D8φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:1C2128,2
C22.7C42⋊2C2 = C42.425D4φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:2C2128,529
C22.7C42⋊3C2 = C42.95D4φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:3C2128,530
C22.7C42⋊4C2 = C23.32M4(2)φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:4C2128,549
C22.7C42⋊5C2 = C24.53(C2×C4)φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:5C2128,550
C22.7C42⋊6C2 = C23.21M4(2)φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:6C2128,582
C22.7C42⋊7C2 = C23.22M4(2)φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:7C2128,601
C22.7C42⋊8C2 = C22⋊C4⋊4C8φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:8C2128,655
C22.7C42⋊9C2 = (C2×D4)⋊Q8φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:9C2128,755
C22.7C42⋊10C2 = C4⋊C4.84D4φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:10C2128,757
C22.7C42⋊11C2 = C4⋊C4⋊7D4φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:11C2128,773
C22.7C42⋊12C2 = C4⋊C4.94D4φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:12C2128,774
C22.7C42⋊13C2 = (C2×C4).24D8φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:13C2128,803
C22.7C42⋊14C2 = C42⋊8C4⋊C2φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:14C2128,805
C22.7C42⋊15C2 = C2.(C4×D8)φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:15C2128,594
C22.7C42⋊16C2 = (C2×C4)⋊9D8φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:16C2128,611
C22.7C42⋊17C2 = D4⋊C4⋊C4φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:17C2128,657
C22.7C42⋊18C2 = (C2×C4)⋊2D8φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:18C2128,743
C22.7C42⋊19C2 = (C2×C4).27D8φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:19C2128,825
C22.7C42⋊20C2 = (C22×D8).C2φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:20C2128,744
C22.7C42⋊21C2 = (C2×C8).41D4φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:21C2128,747
C22.7C42⋊22C2 = (C2×C8).168D4φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:22C2128,824
C22.7C42⋊23C2 = M4(2).42D4φ: C2/C1 → C2 ⊆ Out C22.7C4232C2^2.7C4^2:23C2128,598
C22.7C42⋊24C2 = M4(2).43D4φ: C2/C1 → C2 ⊆ Out C22.7C4232C2^2.7C4^2:24C2128,608
C22.7C42⋊25C2 = M4(2).24D4φ: C2/C1 → C2 ⊆ Out C22.7C4232C2^2.7C4^2:25C2128,661
C22.7C42⋊26C2 = D4⋊(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:26C2128,596
C22.7C42⋊27C2 = (C2×SD16)⋊14C4φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:27C2128,609
C22.7C42⋊28C2 = (C2×SD16)⋊15C4φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:28C2128,612
C22.7C42⋊29C2 = C4.67(C4×D4)φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:29C2128,658
C22.7C42⋊30C2 = (C2×C4)⋊3SD16φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:30C2128,745
C22.7C42⋊31C2 = (C2×C8)⋊20D4φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:31C2128,746
C22.7C42⋊32C2 = (C2×C8).169D4φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:32C2128,826
C22.7C42⋊33C2 = C23.28C42φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:33C2128,460
C22.7C42⋊34C2 = C23.29C42φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:34C2128,461
C22.7C42⋊35C2 = C42.378D4φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:35C2128,481
C22.7C42⋊36C2 = C42.379D4φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:36C2128,482
C22.7C42⋊37C2 = C23.36C42φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:37C2128,484
C22.7C42⋊38C2 = C23.17C42φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:38C2128,485
C22.7C42⋊39C2 = (C2×C8).195D4φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:39C2128,583
C22.7C42⋊40C2 = C23⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:40C2128,602
C22.7C42⋊41C2 = C23.9M4(2)φ: C2/C1 → C2 ⊆ Out C22.7C4264C2^2.7C4^2:41C2128,656
C22.7C42⋊42C2 = C4×C22⋊C8φ: trivial image64C2^2.7C4^2:42C2128,480
C22.7C42⋊43C2 = C8×C22⋊C4φ: trivial image64C2^2.7C4^2:43C2128,483

Non-split extensions G=N.Q with N=C22.7C42 and Q=C2
extensionφ:Q→Out NdρLabelID
C22.7C42.1C2 = C4⋊C4⋊C8φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.1C2128,3
C22.7C42.2C2 = (C2×Q8)⋊C8φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.2C2128,4
C22.7C42.3C2 = C42⋊8C8φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.3C2128,563
C22.7C42.4C2 = C42.23Q8φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.4C2128,564
C22.7C42.5C2 = C42⋊5C8φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.5C2128,571
C22.7C42.6C2 = C42⋊4C4.C2φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.6C2128,572
C22.7C42.7C2 = C4⋊C4⋊3C8φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.7C2128,648
C22.7C42.8C2 = C42.61Q8φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.8C2128,671
C22.7C42.9C2 = C42.327D4φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.9C2128,716
C22.7C42.10C2 = (C2×Q8)⋊Q8φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.10C2128,756
C22.7C42.11C2 = C4⋊C4.85D4φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.11C2128,758
C22.7C42.12C2 = C4⋊C4.95D4φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.12C2128,775
C22.7C42.13C2 = (C2×C4).19Q16φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.13C2128,804
C22.7C42.14C2 = (C2×Q8).109D4φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.14C2128,806
C22.7C42.15C2 = (C2×C4).28D8φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.15C2128,831
C22.7C42.16C2 = (C2×C4).23Q16φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.16C2128,832
C22.7C42.17C2 = C4⋊C4.Q8φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.17C2128,833
C22.7C42.18C2 = Q8⋊(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.18C2128,595
C22.7C42.19C2 = (C2×C4)⋊9Q16φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.19C2128,610
C22.7C42.20C2 = C2.D8⋊4C4φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.20C2128,650
C22.7C42.21C2 = C2.D8⋊5C4φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.21C2128,653
C22.7C42.22C2 = C2.(C4×Q16)φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.22C2128,660
C22.7C42.23C2 = (C2×C4)⋊2Q16φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.23C2128,748
C22.7C42.24C2 = C4⋊C4⋊Q8φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.24C2128,789
C22.7C42.25C2 = (C2×C8).1Q8φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.25C2128,815
C22.7C42.26C2 = (C2×C8).60D4φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.26C2128,827
C22.7C42.27C2 = C2.(C8⋊Q8)φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.27C2128,791
C22.7C42.28C2 = (C2×C8).24Q8φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.28C2128,817
C22.7C42.29C2 = (C2×C8).171D4φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.29C2128,829
C22.7C42.30C2 = M4(2).3Q8φ: C2/C1 → C2 ⊆ Out C22.7C4232C2^2.7C4^2.30C2128,654
C22.7C42.31C2 = Q8⋊C4⋊C4φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.31C2128,597
C22.7C42.32C2 = C4.Q8⋊9C4φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.32C2128,651
C22.7C42.33C2 = C4.Q8⋊10C4φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.33C2128,652
C22.7C42.34C2 = C4.68(C4×D4)φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.34C2128,659
C22.7C42.35C2 = (C2×C8)⋊Q8φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.35C2128,790
C22.7C42.36C2 = C2.(C8⋊3Q8)φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.36C2128,816
C22.7C42.37C2 = (C2×C8).170D4φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.37C2128,828
C22.7C42.38C2 = C43.C2φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.38C2128,477
C22.7C42.39C2 = (C4×C8)⋊12C4φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.39C2128,478
C22.7C42.40C2 = C43.7C2φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.40C2128,499
C22.7C42.41C2 = C42.45Q8φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.41C2128,500
C22.7C42.42C2 = C4⋊C8⋊13C4φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.42C2128,502
C22.7C42.43C2 = C4⋊C8⋊14C4φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.43C2128,503
C22.7C42.44C2 = (C2×C8).Q8φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.44C2128,649
C22.7C42.45C2 = C42.27Q8φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.45C2128,672
C22.7C42.46C2 = C42.120D4φ: C2/C1 → C2 ⊆ Out C22.7C42128C2^2.7C4^2.46C2128,717
C22.7C42.47C2 = C42⋊4C8φ: trivial image128C2^2.7C4^2.47C2128,476
C22.7C42.48C2 = C4×C4⋊C8φ: trivial image128C2^2.7C4^2.48C2128,498
C22.7C42.49C2 = C8×C4⋊C4φ: trivial image128C2^2.7C4^2.49C2128,501

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