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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
×F
5
and Q=
C
2
Direct product G=N×Q with N=
C
3
2
×F
5
and Q=
C
2
d
ρ
Label
ID
C
3
×C
6
×F
5
90
C3xC6xF5
360,145
Semidirect products G=N:Q with N=
C
3
2
×F
5
and Q=
C
2
extension
φ:Q→Out N
d
ρ
Label
ID
(C
3
2
×F
5
)⋊
1
C
2
=
C
3
×S
3
×F
5
φ:
C
2
/
C
1
→
C
2
⊆ Out
C
3
2
×F
5
30
8
(C3^2xF5):1C2
360,126
(C
3
2
×F
5
)⋊
2
C
2
=
C
3
⋊S
3
×F
5
φ:
C
2
/
C
1
→
C
2
⊆ Out
C
3
2
×F
5
45
(C3^2xF5):2C2
360,127
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