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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
2
2
⋊F
5
Direct product G=N×Q with N=
C
3
and Q=
C
2
2
⋊F
5
d
ρ
Label
ID
C
3
×C
2
2
⋊F
5
60
4
C3xC2^2:F5
240,117
Semidirect products G=N:Q with N=
C
3
and Q=
C
2
2
⋊F
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊
1
(C
2
2
⋊F
5
) =
D
6
⋊F
5
φ:
C
2
2
⋊F
5
/
C
2
×F
5
→
C
2
⊆ Aut
C
3
60
8+
C3:1(C2^2:F5)
240,96
C
3
⋊
2
(C
2
2
⋊F
5
) =
D
10
.D
6
φ:
C
2
2
⋊F
5
/
C
2
2
×D
5
→
C
2
⊆ Aut
C
3
60
4
C3:2(C2^2:F5)
240,124
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