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

Extensions 1→N→G→Q→1 with N=C2 and Q=C4xC4:C4

Direct product G=NxQ with N=C2 and Q=C4xC4:C4
dρLabelID
C2xC4xC4:C4128C2xC4xC4:C4128,1001


Non-split extensions G=N.Q with N=C2 and Q=C4xC4:C4
extensionφ:Q→Aut NdρLabelID
C2.1(C4xC4:C4) = C4xC2.C42central extension (φ=1)128C2.1(C4xC4:C4)128,164
C2.2(C4xC4:C4) = C4xC4:C8central extension (φ=1)128C2.2(C4xC4:C4)128,498
C2.3(C4xC4:C4) = C8xC4:C4central extension (φ=1)128C2.3(C4xC4:C4)128,501
C2.4(C4xC4:C4) = C24.624C23central stem extension (φ=1)128C2.4(C4xC4:C4)128,166
C2.5(C4xC4:C4) = C24.625C23central stem extension (φ=1)128C2.5(C4xC4:C4)128,167
C2.6(C4xC4:C4) = C24.626C23central stem extension (φ=1)128C2.6(C4xC4:C4)128,168
C2.7(C4xC4:C4) = C43.7C2central stem extension (φ=1)128C2.7(C4xC4:C4)128,499
C2.8(C4xC4:C4) = C42.45Q8central stem extension (φ=1)128C2.8(C4xC4:C4)128,500
C2.9(C4xC4:C4) = C4:C8:13C4central stem extension (φ=1)128C2.9(C4xC4:C4)128,502
C2.10(C4xC4:C4) = C4:C8:14C4central stem extension (φ=1)128C2.10(C4xC4:C4)128,503
C2.11(C4xC4:C4) = C8.14C42central stem extension (φ=1)32C2.11(C4xC4:C4)128,504
C2.12(C4xC4:C4) = C8.5C42central stem extension (φ=1)32C2.12(C4xC4:C4)128,505
C2.13(C4xC4:C4) = C4xC4.Q8central stem extension (φ=1)128C2.13(C4xC4:C4)128,506
C2.14(C4xC4:C4) = C4xC2.D8central stem extension (φ=1)128C2.14(C4xC4:C4)128,507
C2.15(C4xC4:C4) = C8:C42central stem extension (φ=1)128C2.15(C4xC4:C4)128,508
C2.16(C4xC4:C4) = C4xC8.C4central stem extension (φ=1)64C2.16(C4xC4:C4)128,509
C2.17(C4xC4:C4) = C8.6C42central stem extension (φ=1)64C2.17(C4xC4:C4)128,510

׿
x
:
Z
F
o
wr
Q
<