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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
×C
4
2
⋊
2
C
2
and Q=
C
3
Direct product G=N×Q with N=
C
5
×C
4
2
⋊
2
C
2
and Q=
C
3
d
ρ
Label
ID
C
15
×C
4
2
⋊
2
C
2
240
C15xC4^2:2C2
480,931
Semidirect products G=N:Q with N=
C
5
×C
4
2
⋊
2
C
2
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(C
5
×C
4
2
⋊
2
C
2
)⋊C
3
=
C
5
×C
4
2
⋊C
6
φ:
C
3
/
C
1
→
C
3
⊆ Out
C
5
×C
4
2
⋊
2
C
2
80
6
(C5xC4^2:2C2):C3
480,657
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⋊
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𝔽
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≀
ℚ
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