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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
2
×C
5
⋊
2
C
8
and Q=
C
3
Direct product G=N×Q with N=
C
2
2
×C
5
⋊
2
C
8
and Q=
C
3
d
ρ
Label
ID
C
2
×C
6
×C
5
⋊
2
C
8
480
C2xC6xC5:2C8
480,713
Semidirect products G=N:Q with N=
C
2
2
×C
5
⋊
2
C
8
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(C
2
2
×C
5
⋊
2
C
8
)⋊C
3
=
A
4
×C
5
⋊
2
C
8
φ:
C
3
/
C
1
→
C
3
⊆ Out
C
2
2
×C
5
⋊
2
C
8
120
6
(C2^2xC5:2C8):C3
480,265
×
⋊
ℤ
𝔽
○
≀
ℚ
◁