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Extensions 1→N→G→Q→1 with N=C40⋊5C4 and Q=C2

Direct product G=N×Q with N=C40⋊5C4 and Q=C2
dρLabelID
C2×C40⋊5C4320C2xC40:5C4320,732

Semidirect products G=N:Q with N=C40⋊5C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C40⋊5C4⋊1C2 = D40⋊7C4φ: C2/C1 → C2 ⊆ Out C40⋊5C4160C40:5C4:1C2320,67
C40⋊5C4⋊2C2 = C23.35D20φ: C2/C1 → C2 ⊆ Out C40⋊5C4160C40:5C4:2C2320,349
C40⋊5C4⋊3C2 = C23.10D20φ: C2/C1 → C2 ⊆ Out C40⋊5C4160C40:5C4:3C2320,350
C40⋊5C4⋊4C2 = C22.D40φ: C2/C1 → C2 ⊆ Out C40⋊5C4160C40:5C4:4C2320,363
C40⋊5C4⋊5C2 = C23.13D20φ: C2/C1 → C2 ⊆ Out C40⋊5C4160C40:5C4:5C2320,364
C40⋊5C4⋊6C2 = Dic5.14D8φ: C2/C1 → C2 ⊆ Out C40⋊5C4160C40:5C4:6C2320,386
C40⋊5C4⋊7C2 = D4.2Dic10φ: C2/C1 → C2 ⊆ Out C40⋊5C4160C40:5C4:7C2320,393
C40⋊5C4⋊8C2 = D10.12D8φ: C2/C1 → C2 ⊆ Out C40⋊5C4160C40:5C4:8C2320,401
C40⋊5C4⋊9C2 = C40⋊5C4⋊C2φ: C2/C1 → C2 ⊆ Out C40⋊5C4160C40:5C4:9C2320,411
C40⋊5C4⋊10C2 = D10.7Q16φ: C2/C1 → C2 ⊆ Out C40⋊5C4160C40:5C4:10C2320,436
C40⋊5C4⋊11C2 = (C2×C8).D10φ: C2/C1 → C2 ⊆ Out C40⋊5C4160C40:5C4:11C2320,441
C40⋊5C4⋊12C2 = D20⋊4Q8φ: C2/C1 → C2 ⊆ Out C40⋊5C4160C40:5C4:12C2320,473
C40⋊5C4⋊13C2 = D20.3Q8φ: C2/C1 → C2 ⊆ Out C40⋊5C4160C40:5C4:13C2320,474
C40⋊5C4⋊14C2 = C40⋊29D4φ: C2/C1 → C2 ⊆ Out C40⋊5C4160C40:5C4:14C2320,742
C40⋊5C4⋊15C2 = C40.82D4φ: C2/C1 → C2 ⊆ Out C40⋊5C4160C40:5C4:15C2320,743
C40⋊5C4⋊16C2 = C42.16D10φ: C2/C1 → C2 ⊆ Out C40⋊5C4160C40:5C4:16C2320,337
C40⋊5C4⋊17C2 = C23.47D20φ: C2/C1 → C2 ⊆ Out C40⋊5C4160C40:5C4:17C2320,748
C40⋊5C4⋊18C2 = C40⋊2D4φ: C2/C1 → C2 ⊆ Out C40⋊5C4160C40:5C4:18C2320,761
C40⋊5C4⋊19C2 = C10.D16φ: C2/C1 → C2 ⊆ Out C40⋊5C4160C40:5C4:19C2320,120
C40⋊5C4⋊20C2 = D5×C2.D8φ: C2/C1 → C2 ⊆ Out C40⋊5C4160C40:5C4:20C2320,506
C40⋊5C4⋊21C2 = C8.27(C4×D5)φ: C2/C1 → C2 ⊆ Out C40⋊5C4160C40:5C4:21C2320,507
C40⋊5C4⋊22C2 = D8×Dic5φ: C2/C1 → C2 ⊆ Out C40⋊5C4160C40:5C4:22C2320,776
C40⋊5C4⋊23C2 = C40⋊6D4φ: C2/C1 → C2 ⊆ Out C40⋊5C4160C40:5C4:23C2320,784
C40⋊5C4⋊24C2 = D10⋊3Q16φ: C2/C1 → C2 ⊆ Out C40⋊5C4160C40:5C4:24C2320,815
C40⋊5C4⋊25C2 = C8⋊(C4×D5)φ: C2/C1 → C2 ⊆ Out C40⋊5C4160C40:5C4:25C2320,488
C40⋊5C4⋊26C2 = SD16⋊Dic5φ: C2/C1 → C2 ⊆ Out C40⋊5C4160C40:5C4:26C2320,791
C40⋊5C4⋊27C2 = C40⋊8D4φ: C2/C1 → C2 ⊆ Out C40⋊5C4160C40:5C4:27C2320,801
C40⋊5C4⋊28C2 = C4×D40φ: trivial image160C40:5C4:28C2320,319
C40⋊5C4⋊29C2 = C23.22D20φ: trivial image160C40:5C4:29C2320,733

Non-split extensions G=N.Q with N=C40⋊5C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C40⋊5C4.1C2 = C40.78D4φ: C2/C1 → C2 ⊆ Out C40⋊5C4320C40:5C4.1C2320,61
C40⋊5C4.2C2 = C80⋊13C4φ: C2/C1 → C2 ⊆ Out C40⋊5C4320C40:5C4.2C2320,62
C40⋊5C4.3C2 = C80⋊14C4φ: C2/C1 → C2 ⊆ Out C40⋊5C4320C40:5C4.3C2320,63
C40⋊5C4.4C2 = C40⋊8Q8φ: C2/C1 → C2 ⊆ Out C40⋊5C4320C40:5C4.4C2320,309
C40⋊5C4.5C2 = C40.13Q8φ: C2/C1 → C2 ⊆ Out C40⋊5C4320C40:5C4.5C2320,310
C40⋊5C4.6C2 = Dic5.9Q16φ: C2/C1 → C2 ⊆ Out C40⋊5C4320C40:5C4.6C2320,421
C40⋊5C4.7C2 = Q8.Dic10φ: C2/C1 → C2 ⊆ Out C40⋊5C4320C40:5C4.7C2320,423
C40⋊5C4.8C2 = Dic10.3Q8φ: C2/C1 → C2 ⊆ Out C40⋊5C4320C40:5C4.8C2320,456
C40⋊5C4.9C2 = C20.7Q16φ: C2/C1 → C2 ⊆ Out C40⋊5C4320C40:5C4.9C2320,477
C40⋊5C4.10C2 = C8⋊Dic10φ: C2/C1 → C2 ⊆ Out C40⋊5C4320C40:5C4.10C2320,329
C40⋊5C4.11C2 = C40.2Q8φ: C2/C1 → C2 ⊆ Out C40⋊5C4320C40:5C4.11C2320,47
C40⋊5C4.12C2 = C10.SD32φ: C2/C1 → C2 ⊆ Out C40⋊5C4320C40:5C4.12C2320,48
C40⋊5C4.13C2 = C40.15D4φ: C2/C1 → C2 ⊆ Out C40⋊5C4320C40:5C4.13C2320,122
C40⋊5C4.14C2 = C40⋊2Q8φ: C2/C1 → C2 ⊆ Out C40⋊5C4320C40:5C4.14C2320,501
C40⋊5C4.15C2 = C8.6Dic10φ: C2/C1 → C2 ⊆ Out C40⋊5C4320C40:5C4.15C2320,505
C40⋊5C4.16C2 = Q16×Dic5φ: C2/C1 → C2 ⊆ Out C40⋊5C4320C40:5C4.16C2320,810
C40⋊5C4.17C2 = C40⋊3Q8φ: C2/C1 → C2 ⊆ Out C40⋊5C4320C40:5C4.17C2320,483
C40⋊5C4.18C2 = C4×Dic20φ: trivial image320C40:5C4.18C2320,325

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