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

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

Direct product G=N×Q with N=C2×C10 and Q=D8
dρLabelID
D8×C2×C10160D8xC2xC10320,1571

Semidirect products G=N:Q with N=C2×C10 and Q=D8
extensionφ:Q→Aut NdρLabelID
(C2×C10)⋊1D8 = D20⋊13D4φ: D8/C4 → C22 ⊆ Aut C2×C1080(C2xC10):1D8320,359
(C2×C10)⋊2D8 = D20⋊16D4φ: D8/C4 → C22 ⊆ Aut C2×C1080(C2xC10):2D8320,663
(C2×C10)⋊3D8 = (C2×C10)⋊D8φ: D8/C4 → C22 ⊆ Aut C2×C10160(C2xC10):3D8320,665
(C2×C10)⋊4D8 = C5×C8⋊7D4φ: D8/C8 → C2 ⊆ Aut C2×C10160(C2xC10):4D8320,967
(C2×C10)⋊5D8 = C40⋊29D4φ: D8/C8 → C2 ⊆ Aut C2×C10160(C2xC10):5D8320,742
(C2×C10)⋊6D8 = C22×D40φ: D8/C8 → C2 ⊆ Aut C2×C10160(C2xC10):6D8320,1412
(C2×C10)⋊7D8 = C5×C22⋊D8φ: D8/D4 → C2 ⊆ Aut C2×C1080(C2xC10):7D8320,948
(C2×C10)⋊8D8 = (C2×C10)⋊8D8φ: D8/D4 → C2 ⊆ Aut C2×C1080(C2xC10):8D8320,844
(C2×C10)⋊9D8 = C22×D4⋊D5φ: D8/D4 → C2 ⊆ Aut C2×C10160(C2xC10):9D8320,1464

Non-split extensions G=N.Q with N=C2×C10 and Q=D8
extensionφ:Q→Aut NdρLabelID
(C2×C10).1D8 = C22.2D40φ: D8/C4 → C22 ⊆ Aut C2×C1080(C2xC10).1D8320,28
(C2×C10).2D8 = D40⋊8C4φ: D8/C4 → C22 ⊆ Aut C2×C10804(C2xC10).2D8320,76
(C2×C10).3D8 = C4⋊C4⋊Dic5φ: D8/C4 → C22 ⊆ Aut C2×C1080(C2xC10).3D8320,95
(C2×C10).4D8 = D8⋊2Dic5φ: D8/C4 → C22 ⊆ Aut C2×C10804(C2xC10).4D8320,124
(C2×C10).5D8 = C22.D40φ: D8/C4 → C22 ⊆ Aut C2×C10160(C2xC10).5D8320,363
(C2×C10).6D8 = D80⋊C2φ: D8/C4 → C22 ⊆ Aut C2×C10804+(C2xC10).6D8320,535
(C2×C10).7D8 = C16.D10φ: D8/C4 → C22 ⊆ Aut C2×C101604-(C2xC10).7D8320,536
(C2×C10).8D8 = (C2×C10).D8φ: D8/C4 → C22 ⊆ Aut C2×C10160(C2xC10).8D8320,660
(C2×C10).9D8 = D8⋊D10φ: D8/C4 → C22 ⊆ Aut C2×C10804+(C2xC10).9D8320,820
(C2×C10).10D8 = C40.30C23φ: D8/C4 → C22 ⊆ Aut C2×C101604(C2xC10).10D8320,821
(C2×C10).11D8 = C40.31C23φ: D8/C4 → C22 ⊆ Aut C2×C101604-(C2xC10).11D8320,822
(C2×C10).12D8 = C5×C4○D16φ: D8/C8 → C2 ⊆ Aut C2×C101602(C2xC10).12D8320,1009
(C2×C10).13D8 = C40.78D4φ: D8/C8 → C2 ⊆ Aut C2×C10320(C2xC10).13D8320,61
(C2×C10).14D8 = C80⋊13C4φ: D8/C8 → C2 ⊆ Aut C2×C10320(C2xC10).14D8320,62
(C2×C10).15D8 = C80⋊14C4φ: D8/C8 → C2 ⊆ Aut C2×C10320(C2xC10).15D8320,63
(C2×C10).16D8 = D40⋊7C4φ: D8/C8 → C2 ⊆ Aut C2×C10160(C2xC10).16D8320,67
(C2×C10).17D8 = C20.39C42φ: D8/C8 → C2 ⊆ Aut C2×C10320(C2xC10).17D8320,109
(C2×C10).18D8 = C2×D80φ: D8/C8 → C2 ⊆ Aut C2×C10160(C2xC10).18D8320,529
(C2×C10).19D8 = C2×C16⋊D5φ: D8/C8 → C2 ⊆ Aut C2×C10160(C2xC10).19D8320,530
(C2×C10).20D8 = D80⋊7C2φ: D8/C8 → C2 ⊆ Aut C2×C101602(C2xC10).20D8320,531
(C2×C10).21D8 = C2×Dic40φ: D8/C8 → C2 ⊆ Aut C2×C10320(C2xC10).21D8320,532
(C2×C10).22D8 = C2×C40⋊5C4φ: D8/C8 → C2 ⊆ Aut C2×C10320(C2xC10).22D8320,732
(C2×C10).23D8 = C2×D20⋊5C4φ: D8/C8 → C2 ⊆ Aut C2×C10160(C2xC10).23D8320,739
(C2×C10).24D8 = C5×C22.SD16φ: D8/D4 → C2 ⊆ Aut C2×C1080(C2xC10).24D8320,132
(C2×C10).25D8 = C5×D8⋊2C4φ: D8/D4 → C2 ⊆ Aut C2×C10804(C2xC10).25D8320,165
(C2×C10).26D8 = C5×C22.D8φ: D8/D4 → C2 ⊆ Aut C2×C10160(C2xC10).26D8320,981
(C2×C10).27D8 = C5×C16⋊C22φ: D8/D4 → C2 ⊆ Aut C2×C10804(C2xC10).27D8320,1010
(C2×C10).28D8 = C5×Q32⋊C2φ: D8/D4 → C2 ⊆ Aut C2×C101604(C2xC10).28D8320,1011
(C2×C10).29D8 = (C2×D20)⋊C4φ: D8/D4 → C2 ⊆ Aut C2×C1080(C2xC10).29D8320,9
(C2×C10).30D8 = D40⋊14C4φ: D8/D4 → C2 ⊆ Aut C2×C10804(C2xC10).30D8320,46
(C2×C10).31D8 = C40.2Q8φ: D8/D4 → C2 ⊆ Aut C2×C10320(C2xC10).31D8320,47
(C2×C10).32D8 = C10.SD32φ: D8/D4 → C2 ⊆ Aut C2×C10320(C2xC10).32D8320,48
(C2×C10).33D8 = C40.5D4φ: D8/D4 → C2 ⊆ Aut C2×C10160(C2xC10).33D8320,49
(C2×C10).34D8 = C10.Q32φ: D8/D4 → C2 ⊆ Aut C2×C10320(C2xC10).34D8320,50
(C2×C10).35D8 = C20.31C42φ: D8/D4 → C2 ⊆ Aut C2×C10320(C2xC10).35D8320,87
(C2×C10).36D8 = C10.D16φ: D8/D4 → C2 ⊆ Aut C2×C10160(C2xC10).36D8320,120
(C2×C10).37D8 = C40.15D4φ: D8/D4 → C2 ⊆ Aut C2×C10320(C2xC10).37D8320,122
(C2×C10).38D8 = C2×C10.D8φ: D8/D4 → C2 ⊆ Aut C2×C10320(C2xC10).38D8320,589
(C2×C10).39D8 = C2×D20⋊6C4φ: D8/D4 → C2 ⊆ Aut C2×C10160(C2xC10).39D8320,592
(C2×C10).40D8 = (C2×C10).40D8φ: D8/D4 → C2 ⊆ Aut C2×C10160(C2xC10).40D8320,594
(C2×C10).41D8 = C2×C5⋊D16φ: D8/D4 → C2 ⊆ Aut C2×C10160(C2xC10).41D8320,773
(C2×C10).42D8 = D8.D10φ: D8/D4 → C2 ⊆ Aut C2×C10804(C2xC10).42D8320,774
(C2×C10).43D8 = C2×D8.D5φ: D8/D4 → C2 ⊆ Aut C2×C10160(C2xC10).43D8320,775
(C2×C10).44D8 = C2×C5⋊SD32φ: D8/D4 → C2 ⊆ Aut C2×C10160(C2xC10).44D8320,805
(C2×C10).45D8 = Q16.D10φ: D8/D4 → C2 ⊆ Aut C2×C101604(C2xC10).45D8320,806
(C2×C10).46D8 = C2×C5⋊Q32φ: D8/D4 → C2 ⊆ Aut C2×C10320(C2xC10).46D8320,807
(C2×C10).47D8 = C2×D4⋊Dic5φ: D8/D4 → C2 ⊆ Aut C2×C10160(C2xC10).47D8320,841
(C2×C10).48D8 = C5×C22.4Q16central extension (φ=1)320(C2xC10).48D8320,145
(C2×C10).49D8 = C5×C2.D16central extension (φ=1)160(C2xC10).49D8320,162
(C2×C10).50D8 = C5×C2.Q32central extension (φ=1)320(C2xC10).50D8320,163
(C2×C10).51D8 = C5×C16⋊3C4central extension (φ=1)320(C2xC10).51D8320,171
(C2×C10).52D8 = C5×C16⋊4C4central extension (φ=1)320(C2xC10).52D8320,172
(C2×C10).53D8 = C10×D4⋊C4central extension (φ=1)160(C2xC10).53D8320,915
(C2×C10).54D8 = C10×C2.D8central extension (φ=1)320(C2xC10).54D8320,927
(C2×C10).55D8 = C10×D16central extension (φ=1)160(C2xC10).55D8320,1006
(C2×C10).56D8 = C10×SD32central extension (φ=1)160(C2xC10).56D8320,1007
(C2×C10).57D8 = C10×Q32central extension (φ=1)320(C2xC10).57D8320,1008

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁