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

Extensions 1→N→G→Q→1 with N=C5 and Q=C42.12C4

Direct product G=NxQ with N=C5 and Q=C42.12C4
dρLabelID
C5xC42.12C4160C5xC4^2.12C4320,932

Semidirect products G=N:Q with N=C5 and Q=C42.12C4
extensionφ:Q→Aut NdρLabelID
C5:1(C42.12C4) = C42.6F5φ: C42.12C4/C42 → C4 ⊆ Aut C5160C5:1(C4^2.12C4)320,1016
C5:2(C42.12C4) = C42.12F5φ: C42.12C4/C42 → C4 ⊆ Aut C5160C5:2(C4^2.12C4)320,1018
C5:3(C42.12C4) = Dic5.12M4(2)φ: C42.12C4/C22xC4 → C4 ⊆ Aut C5160C5:3(C4^2.12C4)320,1086
C5:4(C42.12C4) = C20.34M4(2)φ: C42.12C4/C22xC4 → C4 ⊆ Aut C5160C5:4(C4^2.12C4)320,1092
C5:5(C42.12C4) = C42.282D10φ: C42.12C4/C4xC8 → C2 ⊆ Aut C5160C5:5(C4^2.12C4)320,312
C5:6(C42.12C4) = Dic5.14M4(2)φ: C42.12C4/C22:C8 → C2 ⊆ Aut C5160C5:6(C4^2.12C4)320,345
C5:7(C42.12C4) = C42.200D10φ: C42.12C4/C4:C8 → C2 ⊆ Aut C5160C5:7(C4^2.12C4)320,460
C5:8(C42.12C4) = C42.6Dic5φ: C42.12C4/C2xC42 → C2 ⊆ Aut C5160C5:8(C4^2.12C4)320,552


׿
x
:
Z
F
o
wr
Q
<