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C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀
Extensions
1→N→G→Q→1 with N=
C
2
and Q=
C
4
2
.
2
C
2
2
Direct product G=N×Q with N=
C
2
and Q=
C
4
2
.
2
C
2
2
d
ρ
Label
ID
C
2
×C
4
2
.
2
C
2
2
128
C2xC4^2.2C2^2
128,255
Non-split extensions G=N.Q with N=
C
2
and Q=
C
4
2
.
2
C
2
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.
1
(C
4
2
.
2
C
2
2
) =
C
4
⋊C
4
⋊C
8
central extension (φ=1)
128
C2.1(C4^2.2C2^2)
128,3
C
2
.
2
(C
4
2
.
2
C
2
2
) =
C
4
2
.
7
Q
8
central extension (φ=1)
128
C2.2(C4^2.2C2^2)
128,27
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