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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
and Q=
C
3
×F
5
Direct product G=N×Q with N=
C
2
and Q=
C
3
×F
5
d
ρ
Label
ID
C
6
×F
5
30
4
C6xF5
120,40
Non-split extensions G=N.Q with N=
C
2
and Q=
C
3
×F
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.(C
3
×F
5
) =
C
3
×C
5
⋊C
8
central extension (φ=1)
120
4
C2.(C3xF5)
120,6
×
⋊
ℤ
𝔽
○
≀
ℚ
◁