Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
x
:
.
o
wr

Extensions 1→N→G→Q→1 with N=Q8:C4 and Q=C10

Direct product G=NxQ with N=Q8:C4 and Q=C10
dρLabelID
C10xQ8:C4320C10xQ8:C4320,916

Semidirect products G=N:Q with N=Q8:C4 and Q=C10
extensionφ:Q→Out NdρLabelID
Q8:C4:1C10 = C5xC8:8D4φ: C10/C5 → C2 ⊆ Out Q8:C4160Q8:C4:1C10320,966
Q8:C4:2C10 = C5xC8.18D4φ: C10/C5 → C2 ⊆ Out Q8:C4160Q8:C4:2C10320,968
Q8:C4:3C10 = C5xC42.78C22φ: C10/C5 → C2 ⊆ Out Q8:C4160Q8:C4:3C10320,989
Q8:C4:4C10 = C5xD4:D4φ: C10/C5 → C2 ⊆ Out Q8:C4160Q8:C4:4C10320,950
Q8:C4:5C10 = C5xC22:Q16φ: C10/C5 → C2 ⊆ Out Q8:C4160Q8:C4:5C10320,952
Q8:C4:6C10 = C5xD4.2D4φ: C10/C5 → C2 ⊆ Out Q8:C4160Q8:C4:6C10320,964
Q8:C4:7C10 = C5xC23.48D4φ: C10/C5 → C2 ⊆ Out Q8:C4160Q8:C4:7C10320,985
Q8:C4:8C10 = C5xC23.20D4φ: C10/C5 → C2 ⊆ Out Q8:C4160Q8:C4:8C10320,986
Q8:C4:9C10 = C5xQ8:D4φ: C10/C5 → C2 ⊆ Out Q8:C4160Q8:C4:9C10320,949
Q8:C4:10C10 = C5xD4.7D4φ: C10/C5 → C2 ⊆ Out Q8:C4160Q8:C4:10C10320,953
Q8:C4:11C10 = C5xD4.D4φ: C10/C5 → C2 ⊆ Out Q8:C4160Q8:C4:11C10320,962
Q8:C4:12C10 = C5xQ8.D4φ: C10/C5 → C2 ⊆ Out Q8:C4160Q8:C4:12C10320,965
Q8:C4:13C10 = C5xC23.47D4φ: C10/C5 → C2 ⊆ Out Q8:C4160Q8:C4:13C10320,984
Q8:C4:14C10 = C5xC23.36D4φ: C10/C5 → C2 ⊆ Out Q8:C4160Q8:C4:14C10320,918
Q8:C4:15C10 = C5xC23.38D4φ: C10/C5 → C2 ⊆ Out Q8:C4160Q8:C4:15C10320,920
Q8:C4:16C10 = C5xSD16:C4φ: C10/C5 → C2 ⊆ Out Q8:C4160Q8:C4:16C10320,941
Q8:C4:17C10 = C5xC8:D4φ: C10/C5 → C2 ⊆ Out Q8:C4160Q8:C4:17C10320,969
Q8:C4:18C10 = C5xC8.D4φ: C10/C5 → C2 ⊆ Out Q8:C4160Q8:C4:18C10320,971
Q8:C4:19C10 = C5xC42.28C22φ: C10/C5 → C2 ⊆ Out Q8:C4160Q8:C4:19C10320,990
Q8:C4:20C10 = C5xC23.24D4φ: trivial image160Q8:C4:20C10320,917
Q8:C4:21C10 = SD16xC20φ: trivial image160Q8:C4:21C10320,939

Non-split extensions G=N.Q with N=Q8:C4 and Q=C10
extensionφ:Q→Out NdρLabelID
Q8:C4.1C10 = C5xC4.SD16φ: C10/C5 → C2 ⊆ Out Q8:C4320Q8:C4.1C10320,988
Q8:C4.2C10 = C5xC4:2Q16φ: C10/C5 → C2 ⊆ Out Q8:C4320Q8:C4.2C10320,963
Q8:C4.3C10 = C5xC4.Q16φ: C10/C5 → C2 ⊆ Out Q8:C4320Q8:C4.3C10320,978
Q8:C4.4C10 = C5xQ8:Q8φ: C10/C5 → C2 ⊆ Out Q8:C4320Q8:C4.4C10320,976
Q8:C4.5C10 = C5xQ8.Q8φ: C10/C5 → C2 ⊆ Out Q8:C4320Q8:C4.5C10320,980
Q8:C4.6C10 = C5xQ16:C4φ: C10/C5 → C2 ⊆ Out Q8:C4320Q8:C4.6C10320,942
Q8:C4.7C10 = C5xC42.30C22φ: C10/C5 → C2 ⊆ Out Q8:C4320Q8:C4.7C10320,992
Q8:C4.8C10 = Q16xC20φ: trivial image320Q8:C4.8C10320,940

׿
x
:
Z
F
o
wr
Q
<