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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
2
⋊
4
Q
8
and Q=
C
3
Direct product G=N×Q with N=
C
3
2
⋊
4
Q
8
and Q=
C
3
d
ρ
Label
ID
C
3
×C
3
2
⋊
4
Q
8
72
C3xC3^2:4Q8
216,140
Semidirect products G=N:Q with N=
C
3
2
⋊
4
Q
8
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
C
3
2
⋊
4
Q
8
⋊C
3
=
He
3
⋊
3
Q
8
φ:
C
3
/
C
1
→
C
3
⊆ Out
C
3
2
⋊
4
Q
8
72
6-
C3^2:4Q8:C3
216,49
×
⋊
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𝔽
○
≀
ℚ
◁