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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=
D
5
and Q=
C
3
2
⋊C
4
Direct product G=N×Q with N=
D
5
and Q=
C
3
2
⋊C
4
d
ρ
Label
ID
D
5
×C
3
2
⋊C
4
30
8+
D5xC3^2:C4
360,130
Semidirect products G=N:Q with N=
D
5
and Q=
C
3
2
⋊C
4
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
⋊(C
3
2
⋊C
4
) =
C
3
2
⋊F
5
⋊C
2
φ:
C
3
2
⋊C
4
/
C
3
⋊S
3
→
C
2
⊆ Out
D
5
30
8+
D5:(C3^2:C4)
360,131
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ℚ
◁