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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
2
3
×C
6
Direct product G=N×Q with N=
D
5
and Q=
C
2
3
×C
6
d
ρ
Label
ID
D
5
×C
2
3
×C
6
240
D5xC2^3xC6
480,1210
Non-split extensions G=N.Q with N=
D
5
and Q=
C
2
3
×C
6
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.(C
2
3
×C
6
) =
F
5
×C
2
2
×C
6
φ:
C
2
3
×C
6
/
C
2
2
×C
6
→
C
2
⊆ Out
D
5
120
D5.(C2^3xC6)
480,1205
×
⋊
ℤ
𝔽
○
≀
ℚ
◁