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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
3
2
⋊
4
Q
8
Direct product G=N×Q with N=
C
2
and Q=
C
3
2
⋊
4
Q
8
d
ρ
Label
ID
C
2
×C
3
2
⋊
4
Q
8
144
C2xC3^2:4Q8
144,168
Non-split extensions G=N.Q with N=
C
2
and Q=
C
3
2
⋊
4
Q
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.
1
(C
3
2
⋊
4
Q
8
) =
C
6
.Dic
6
central extension (φ=1)
144
C2.1(C3^2:4Q8)
144,93
C
2
.
2
(C
3
2
⋊
4
Q
8
) =
C
12
⋊Dic
3
central extension (φ=1)
144
C2.2(C3^2:4Q8)
144,94
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