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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
2
4
⋊C
5
and Q=
S
3
Direct product G=N×Q with N=
C
2
4
⋊C
5
and Q=
S
3
d
ρ
Label
ID
S
3
×C
2
4
⋊C
5
30
10+
S3xC2^4:C5
480,1196
Semidirect products G=N:Q with N=
C
2
4
⋊C
5
and Q=
S
3
extension
φ:Q→Out N
d
ρ
Label
ID
C
2
4
⋊C
5
⋊S
3
=
C
2
4
⋊D
15
φ:
S
3
/
C
3
→
C
2
⊆ Out
C
2
4
⋊C
5
30
10+
C2^4:C5:S3
480,1195
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ℤ
𝔽
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≀
ℚ
◁