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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
5
and Q=
C
3
2
⋊C
4
Direct product G=N×Q with N=
C
5
and Q=
C
3
2
⋊C
4
d
ρ
Label
ID
C
5
×C
3
2
⋊C
4
30
4
C5xC3^2:C4
180,23
Semidirect products G=N:Q with N=
C
5
and Q=
C
3
2
⋊C
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊(C
3
2
⋊C
4
) =
C
3
2
⋊F
5
φ:
C
3
2
⋊C
4
/
C
3
2
→
C
4
⊆ Aut
C
5
30
4+
C5:(C3^2:C4)
180,25
C
5
⋊
2
(C
3
2
⋊C
4
) =
C
3
2
⋊Dic
5
φ:
C
3
2
⋊C
4
/
C
3
⋊S
3
→
C
2
⊆ Aut
C
5
30
4
C5:2(C3^2:C4)
180,24
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