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=C3xSD16

Direct product G=NxQ with N=C7 and Q=C3xSD16
dρLabelID
SD16xC211682SD16xC21336,112

Semidirect products G=N:Q with N=C7 and Q=C3xSD16
extensionφ:Q→Aut NdρLabelID
C7:1(C3xSD16) = C56:C6φ: C3xSD16/C8 → C6 ⊆ Aut C7566C7:1(C3xSD16)336,9
C7:2(C3xSD16) = D4.F7φ: C3xSD16/D4 → C6 ⊆ Aut C75612-C7:2(C3xSD16)336,19
C7:3(C3xSD16) = Q8:2F7φ: C3xSD16/Q8 → C6 ⊆ Aut C75612+C7:3(C3xSD16)336,20
C7:4(C3xSD16) = SD16xC7:C3φ: C3xSD16/SD16 → C3 ⊆ Aut C7566C7:4(C3xSD16)336,54
C7:5(C3xSD16) = C3xC56:C2φ: C3xSD16/C24 → C2 ⊆ Aut C71682C7:5(C3xSD16)336,60
C7:6(C3xSD16) = C3xD4.D7φ: C3xSD16/C3xD4 → C2 ⊆ Aut C71684C7:6(C3xSD16)336,70
C7:7(C3xSD16) = C3xQ8:D7φ: C3xSD16/C3xQ8 → C2 ⊆ Aut C71684C7:7(C3xSD16)336,71


׿
x
:
Z
F
o
wr
Q
<