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

Extensions 1→N→G→Q→1 with N=C7 and Q=C23.37C23

Direct product G=NxQ with N=C7 and Q=C23.37C23
dρLabelID
C7xC23.37C23224C7xC2^3.37C2^3448,1316

Semidirect products G=N:Q with N=C7 and Q=C23.37C23
extensionφ:Q→Aut NdρLabelID
C7:1(C23.37C23) = C42.274D14φ: C23.37C23/C2xC42 → C2 ⊆ Aut C7224C7:1(C2^3.37C2^3)448,923
C7:2(C23.37C23) = C42.88D14φ: C23.37C23/C42:C2 → C2 ⊆ Aut C7224C7:2(C2^3.37C2^3)448,970
C7:3(C23.37C23) = C42.232D14φ: C23.37C23/C4xQ8 → C2 ⊆ Aut C7224C7:3(C2^3.37C2^3)448,1031
C7:4(C23.37C23) = (Q8xDic7):C2φ: C23.37C23/C22:Q8 → C2 ⊆ Aut C7224C7:4(C2^3.37C2^3)448,1075
C7:5(C23.37C23) = C42.236D14φ: C23.37C23/C42.C2 → C2 ⊆ Aut C7224C7:5(C2^3.37C2^3)448,1141
C7:6(C23.37C23) = C42.241D14φ: C23.37C23/C4:Q8 → C2 ⊆ Aut C7224C7:6(C2^3.37C2^3)448,1181


׿
x
:
Z
F
o
wr
Q
<