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

Extensions 1→N→G→Q→1 with N=C2×C4.Dic5 and Q=C2

Direct product G=N×Q with N=C2×C4.Dic5 and Q=C2
dρLabelID
C22×C4.Dic5160C2^2xC4.Dic5320,1453

Semidirect products G=N:Q with N=C2×C4.Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4.Dic5)⋊1C2 = D10⋊4M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5):1C2320,355
(C2×C4.Dic5)⋊2C2 = Dic5⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5):2C2320,356
(C2×C4.Dic5)⋊3C2 = C2×D20⋊4C4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic580(C2xC4.Dic5):3C2320,554
(C2×C4.Dic5)⋊4C2 = C42.47D10φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5):4C2320,638
(C2×C4.Dic5)⋊5C2 = C20⋊7M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5):5C2320,639
(C2×C4.Dic5)⋊6C2 = (C22×C8)⋊D5φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5):6C2320,737
(C2×C4.Dic5)⋊7C2 = C24.4Dic5φ: C2/C1 → C2 ⊆ Out C2×C4.Dic580(C2xC4.Dic5):7C2320,834
(C2×C4.Dic5)⋊8C2 = C4○D20⋊9C4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5):8C2320,593
(C2×C4.Dic5)⋊9C2 = C4⋊C4⋊36D10φ: C2/C1 → C2 ⊆ Out C2×C4.Dic580(C2xC4.Dic5):9C2320,628
(C2×C4.Dic5)⋊10C2 = C42⋊4D10φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5804(C2xC4.Dic5):10C2320,632
(C2×C4.Dic5)⋊11C2 = C4⋊D4⋊D5φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5):11C2320,666
(C2×C4.Dic5)⋊12C2 = C4.(D4×D5)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5):12C2320,669
(C2×C4.Dic5)⋊13C2 = C22⋊Q8⋊D5φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5):13C2320,676
(C2×C4.Dic5)⋊14C2 = D10⋊8M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic580(C2xC4.Dic5):14C2320,753
(C2×C4.Dic5)⋊15C2 = C2×C20.46D4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic580(C2xC4.Dic5):15C2320,757
(C2×C4.Dic5)⋊16C2 = M4(2).31D10φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5804(C2xC4.Dic5):16C2320,759
(C2×C4.Dic5)⋊17C2 = (D4×C10)⋊18C4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic580(C2xC4.Dic5):17C2320,842
(C2×C4.Dic5)⋊18C2 = C2×C20.D4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic580(C2xC4.Dic5):18C2320,843
(C2×C4.Dic5)⋊19C2 = C4○D4⋊Dic5φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5):19C2320,859
(C2×C4.Dic5)⋊20C2 = (D4×C10).24C4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5):20C2320,861
(C2×C4.Dic5)⋊21C2 = C2×D4⋊2Dic5φ: C2/C1 → C2 ⊆ Out C2×C4.Dic580(C2xC4.Dic5):21C2320,862
(C2×C4.Dic5)⋊22C2 = (D4×C10)⋊21C4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5804(C2xC4.Dic5):22C2320,863
(C2×C4.Dic5)⋊23C2 = (D4×C10).29C4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5804(C2xC4.Dic5):23C2320,864
(C2×C4.Dic5)⋊24C2 = C2×D5×M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic580(C2xC4.Dic5):24C2320,1415
(C2×C4.Dic5)⋊25C2 = C40.47C23φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5804(C2xC4.Dic5):25C2320,1417
(C2×C4.Dic5)⋊26C2 = C2×D4.D10φ: C2/C1 → C2 ⊆ Out C2×C4.Dic580(C2xC4.Dic5):26C2320,1465
(C2×C4.Dic5)⋊27C2 = C2×C20.C23φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5):27C2320,1480
(C2×C4.Dic5)⋊28C2 = C2×D4.Dic5φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5):28C2320,1490
(C2×C4.Dic5)⋊29C2 = C20.76C24φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5804(C2xC4.Dic5):29C2320,1491
(C2×C4.Dic5)⋊30C2 = C2×D4⋊D10φ: C2/C1 → C2 ⊆ Out C2×C4.Dic580(C2xC4.Dic5):30C2320,1492
(C2×C4.Dic5)⋊31C2 = C20.C24φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5804(C2xC4.Dic5):31C2320,1494
(C2×C4.Dic5)⋊32C2 = C2×D4.9D10φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5):32C2320,1495
(C2×C4.Dic5)⋊33C2 = C2×D20.3C4φ: trivial image160(C2xC4.Dic5):33C2320,1410

Non-split extensions G=N.Q with N=C2×C4.Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4.Dic5).1C2 = C42⋊6Dic5φ: C2/C1 → C2 ⊆ Out C2×C4.Dic580(C2xC4.Dic5).1C2320,81
(C2×C4.Dic5).2C2 = C20.40C42φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5).2C2320,110
(C2×C4.Dic5).3C2 = C20⋊13M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5).3C2320,551
(C2×C4.Dic5).4C2 = C20.65(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5).4C2320,729
(C2×C4.Dic5).5C2 = C2×C40.6C4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5).5C2320,734
(C2×C4.Dic5).6C2 = (C2×C20).Q8φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5).6C2320,88
(C2×C4.Dic5).7C2 = C42⋊1Dic5φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5804(C2xC4.Dic5).7C2320,89
(C2×C4.Dic5).8C2 = C20.32C42φ: C2/C1 → C2 ⊆ Out C2×C4.Dic580(C2xC4.Dic5).8C2320,90
(C2×C4.Dic5).9C2 = C20.60(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5804(C2xC4.Dic5).9C2320,91
(C2×C4.Dic5).10C2 = M4(2)⋊Dic5φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5).10C2320,112
(C2×C4.Dic5).11C2 = (C2×C40)⋊C4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5804(C2xC4.Dic5).11C2320,114
(C2×C4.Dic5).12C2 = C20.34C42φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5).12C2320,116
(C2×C4.Dic5).13C2 = M4(2)⋊4Dic5φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5804(C2xC4.Dic5).13C2320,117
(C2×C4.Dic5).14C2 = C20.51C42φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5804(C2xC4.Dic5).14C2320,118
(C2×C4.Dic5).15C2 = C20.47(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5).15C2320,591
(C2×C4.Dic5).16C2 = C20.64(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5).16C2320,622
(C2×C4.Dic5).17C2 = C20.35C42φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5).17C2320,624
(C2×C4.Dic5).18C2 = C42.43D10φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5).18C2320,626
(C2×C4.Dic5).19C2 = C4.(C2×D20)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5).19C2320,631
(C2×C4.Dic5).20C2 = C5⋊(C8.D4)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5).20C2320,679
(C2×C4.Dic5).21C2 = M4(2)×Dic5φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5).21C2320,744
(C2×C4.Dic5).22C2 = Dic5⋊5M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5).22C2320,745
(C2×C4.Dic5).23C2 = C2×C20.53D4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5).23C2320,750
(C2×C4.Dic5).24C2 = C23.Dic10φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5804(C2xC4.Dic5).24C2320,751
(C2×C4.Dic5).25C2 = M4(2).Dic5φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5804(C2xC4.Dic5).25C2320,752
(C2×C4.Dic5).26C2 = C2×C4.12D20φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5).26C2320,763
(C2×C4.Dic5).27C2 = (Q8×C10)⋊16C4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5).27C2320,852
(C2×C4.Dic5).28C2 = C2×C20.10D4φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5160(C2xC4.Dic5).28C2320,853
(C2×C4.Dic5).29C2 = C20.29M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4.Dic5804(C2xC4.Dic5).29C2320,250
(C2×C4.Dic5).30C2 = C4×C4.Dic5φ: trivial image160(C2xC4.Dic5).30C2320,549
(C2×C4.Dic5).31C2 = C20.42C42φ: trivial image160(C2xC4.Dic5).31C2320,728

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁