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=C22xC22:C4

Direct product G=NxQ with N=C5 and Q=C22xC22:C4
dρLabelID
C22:C4xC2xC10160C2^2:C4xC2xC10320,1514

Semidirect products G=N:Q with N=C5 and Q=C22xC22:C4
extensionφ:Q→Aut NdρLabelID
C5:(C22xC22:C4) = C22xC22:F5φ: C22xC22:C4/C24 → C4 ⊆ Aut C580C5:(C2^2xC2^2:C4)320,1607
C5:2(C22xC22:C4) = C2xD5xC22:C4φ: C22xC22:C4/C2xC22:C4 → C2 ⊆ Aut C580C5:2(C2^2xC2^2:C4)320,1156
C5:3(C22xC22:C4) = C22xD10:C4φ: C22xC22:C4/C23xC4 → C2 ⊆ Aut C5160C5:3(C2^2xC2^2:C4)320,1459
C5:4(C22xC22:C4) = C22xC23.D5φ: C22xC22:C4/C25 → C2 ⊆ Aut C5160C5:4(C2^2xC2^2:C4)320,1511


׿
x
:
Z
F
o
wr
Q
<