Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

Extensions 1→N→G→Q→1 with N=C10.D8 and Q=C2

Direct product G=N×Q with N=C10.D8 and Q=C2
dρLabelID
C2×C10.D8320C2xC10.D8320,589

Semidirect products G=N:Q with N=C10.D8 and Q=C2
extensionφ:Q→Out NdρLabelID
C10.D8⋊1C2 = Dic5⋊4D8φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:1C2320,383
C10.D8⋊2C2 = D4.D5⋊5C4φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:2C2320,384
C10.D8⋊3C2 = Dic5.14D8φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:3C2320,386
C10.D8⋊4C2 = D4.Dic10φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:4C2320,390
C10.D8⋊5C2 = D10.12D8φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:5C2320,401
C10.D8⋊6C2 = D10⋊D8φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:6C2320,402
C10.D8⋊7C2 = C40⋊6C4⋊C2φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:7C2320,406
C10.D8⋊8C2 = C5⋊2C8⋊D4φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:8C2320,407
C10.D8⋊9C2 = D10.7Q16φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:9C2320,436
C10.D8⋊10C2 = C5⋊(C8⋊D4)φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:10C2320,439
C10.D8⋊11C2 = D10⋊Q16φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:11C2320,440
C10.D8⋊12C2 = D10⋊1C8.C2φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:12C2320,442
C10.D8⋊13C2 = Q8⋊D5⋊6C4φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:13C2320,444
C10.D8⋊14C2 = (C8×D5)⋊C4φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:14C2320,487
C10.D8⋊15C2 = C8⋊(C4×D5)φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:15C2320,488
C10.D8⋊16C2 = C4.Q8⋊D5φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:16C2320,493
C10.D8⋊17C2 = C20.(C4○D4)φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:17C2320,494
C10.D8⋊18C2 = D20.Q8φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:18C2320,498
C10.D8⋊19C2 = D5×C2.D8φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:19C2320,506
C10.D8⋊20C2 = C40⋊20(C2×C4)φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:20C2320,508
C10.D8⋊21C2 = D10.13D8φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:21C2320,509
C10.D8⋊22C2 = D10.8Q16φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:22C2320,511
C10.D8⋊23C2 = D20⋊2Q8φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:23C2320,517
C10.D8⋊24C2 = C20.47(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:24C2320,591
C10.D8⋊25C2 = (C2×C10).40D8φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:25C2320,594
C10.D8⋊26C2 = C4⋊C4.230D10φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:26C2320,597
C10.D8⋊27C2 = C20.64(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:27C2320,622
C10.D8⋊28C2 = C4⋊C4.233D10φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:28C2320,623
C10.D8⋊29C2 = C4⋊C4.236D10φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:29C2320,630
C10.D8⋊30C2 = C20.50D8φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:30C2320,634
C10.D8⋊31C2 = D4.3Dic10φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:31C2320,636
C10.D8⋊32C2 = C42.51D10φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:32C2320,645
C10.D8⋊33C2 = C42.56D10φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:33C2320,653
C10.D8⋊34C2 = (C2×C10).D8φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:34C2320,660
C10.D8⋊35C2 = (C2×D4).D10φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:35C2320,662
C10.D8⋊36C2 = (C2×C10)⋊D8φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:36C2320,665
C10.D8⋊37C2 = C4.(D4×D5)φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:37C2320,669
C10.D8⋊38C2 = (C2×C10).Q16φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:38C2320,671
C10.D8⋊39C2 = C10.(C4○D8)φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:39C2320,672
C10.D8⋊40C2 = C22⋊Q8⋊D5φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:40C2320,676
C10.D8⋊41C2 = (C2×C10)⋊Q16φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:41C2320,678
C10.D8⋊42C2 = D20.4Q8φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:42C2320,693
C10.D8⋊43C2 = D20⋊6Q8φ: C2/C1 → C2 ⊆ Out C10.D8160C10.D8:43C2320,714
C10.D8⋊44C2 = C20.76(C4⋊C4)φ: trivial image160C10.D8:44C2320,625
C10.D8⋊45C2 = C4×D4⋊D5φ: trivial image160C10.D8:45C2320,640

Non-split extensions G=N.Q with N=C10.D8 and Q=C2
extensionφ:Q→Out NdρLabelID
C10.D8.1C2 = Dic5⋊4Q16φ: C2/C1 → C2 ⊆ Out C10.D8320C10.D8.1C2320,417
C10.D8.2C2 = Dic5.9Q16φ: C2/C1 → C2 ⊆ Out C10.D8320C10.D8.2C2320,421
C10.D8.3C2 = Q8.2Dic10φ: C2/C1 → C2 ⊆ Out C10.D8320C10.D8.3C2320,426
C10.D8.4C2 = C40⋊3Q8φ: C2/C1 → C2 ⊆ Out C10.D8320C10.D8.4C2320,483
C10.D8.5C2 = Dic10.Q8φ: C2/C1 → C2 ⊆ Out C10.D8320C10.D8.5C2320,484
C10.D8.6C2 = C8.8Dic10φ: C2/C1 → C2 ⊆ Out C10.D8320C10.D8.6C2320,485
C10.D8.7C2 = C40⋊2Q8φ: C2/C1 → C2 ⊆ Out C10.D8320C10.D8.7C2320,501
C10.D8.8C2 = Dic10⋊2Q8φ: C2/C1 → C2 ⊆ Out C10.D8320C10.D8.8C2320,502
C10.D8.9C2 = C40⋊4Q8φ: C2/C1 → C2 ⊆ Out C10.D8320C10.D8.9C2320,503
C10.D8.10C2 = C20.23Q16φ: C2/C1 → C2 ⊆ Out C10.D8320C10.D8.10C2320,648
C10.D8.11C2 = Q8.3Dic10φ: C2/C1 → C2 ⊆ Out C10.D8320C10.D8.11C2320,649
C10.D8.12C2 = Dic10.4Q8φ: C2/C1 → C2 ⊆ Out C10.D8320C10.D8.12C2320,690
C10.D8.13C2 = C42.215D10φ: C2/C1 → C2 ⊆ Out C10.D8320C10.D8.13C2320,691
C10.D8.14C2 = C42.68D10φ: C2/C1 → C2 ⊆ Out C10.D8320C10.D8.14C2320,692
C10.D8.15C2 = C20.17D8φ: C2/C1 → C2 ⊆ Out C10.D8320C10.D8.15C2320,705
C10.D8.16C2 = C42.76D10φ: C2/C1 → C2 ⊆ Out C10.D8320C10.D8.16C2320,707
C10.D8.17C2 = Dic10⋊5Q8φ: C2/C1 → C2 ⊆ Out C10.D8320C10.D8.17C2320,718
C10.D8.18C2 = C4×C5⋊Q16φ: trivial image320C10.D8.18C2320,656

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁