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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
3
⋊C
2
and Q=
C
4
Direct product G=N×Q with N=
C
3
3
⋊C
2
and Q=
C
4
d
ρ
Label
ID
C
4
×C
3
3
⋊C
2
108
C4xC3^3:C2
216,146
Semidirect products G=N:Q with N=
C
3
3
⋊C
2
and Q=
C
4
extension
φ:Q→Out N
d
ρ
Label
ID
C
3
3
⋊C
2
⋊C
4
=
S
3
×C
3
2
⋊C
4
φ:
C
4
/
C
1
→
C
4
⊆ Out
C
3
3
⋊C
2
12
8+
C3^3:C2:C4
216,156
C
3
3
⋊C
2
⋊
2
C
4
=
C
3
3
⋊
8
(C
2
×C
4
)
φ:
C
4
/
C
2
→
C
2
⊆ Out
C
3
3
⋊C
2
36
C3^3:C2:2C4
216,126
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