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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
3
and Q=
C
8
.
4
Q
8
Direct product G=N×Q with N=
C
3
and Q=
C
8
.
4
Q
8
d
ρ
Label
ID
C
3
×C
8
.
4
Q
8
96
2
C3xC8.4Q8
192,174
Semidirect products G=N:Q with N=
C
3
and Q=
C
8
.
4
Q
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊
1
(C
8
.
4
Q
8
) =
C
24
.
7
Q
8
φ:
C
8
.
4
Q
8
/
C
8
.C
4
→
C
2
⊆ Aut
C
3
96
4
C3:1(C8.4Q8)
192,52
C
3
⋊
2
(C
8
.
4
Q
8
) =
C
48
.C
4
φ:
C
8
.
4
Q
8
/
C
2
×C
16
→
C
2
⊆ Aut
C
3
96
2
C3:2(C8.4Q8)
192,65
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𝔽
○
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