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=C3xC22:C4

Direct product G=NxQ with N=C7 and Q=C3xC22:C4
dρLabelID
C22:C4xC21168C2^2:C4xC21336,107

Semidirect products G=N:Q with N=C7 and Q=C3xC22:C4
extensionφ:Q→Aut NdρLabelID
C7:1(C3xC22:C4) = D14:C12φ: C3xC22:C4/C2xC4 → C6 ⊆ Aut C756C7:1(C3xC2^2:C4)336,17
C7:2(C3xC22:C4) = C23.2F7φ: C3xC22:C4/C23 → C6 ⊆ Aut C756C7:2(C3xC2^2:C4)336,22
C7:3(C3xC22:C4) = C22:C4xC7:C3φ: C3xC22:C4/C22:C4 → C3 ⊆ Aut C756C7:3(C3xC2^2:C4)336,49
C7:4(C3xC22:C4) = C3xD14:C4φ: C3xC22:C4/C2xC12 → C2 ⊆ Aut C7168C7:4(C3xC2^2:C4)336,68
C7:5(C3xC22:C4) = C3xC23.D7φ: C3xC22:C4/C22xC6 → C2 ⊆ Aut C7168C7:5(C3xC2^2:C4)336,73


׿
x
:
Z
F
o
wr
Q
<