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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
3
.
4
Q
8
and Q=
C
3
Direct product G=N×Q with N=
C
2
3
.
4
Q
8
and Q=
C
3
d
ρ
Label
ID
C
3
×C
2
3
.
4
Q
8
96
C3xC2^3.4Q8
192,832
Semidirect products G=N:Q with N=
C
2
3
.
4
Q
8
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
C
2
3
.
4
Q
8
⋊C
3
=
C
2
4
.
3
A
4
φ:
C
3
/
C
1
→
C
3
⊆ Out
C
2
3
.
4
Q
8
24
6
C2^3.4Q8:C3
192,198
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ℚ
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