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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
and Q=
C
2
×C
6
2
Direct product G=N×Q with N=
C
5
and Q=
C
2
×C
6
2
d
ρ
Label
ID
C
2
×C
6
×C
30
360
C2xC6xC30
360,162
Semidirect products G=N:Q with N=
C
5
and Q=
C
2
×C
6
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊(C
2
×C
6
2
) =
D
5
×C
6
2
φ:
C
2
×C
6
2
/
C
6
2
→
C
2
⊆ Aut
C
5
180
C5:(C2xC6^2)
360,157
×
⋊
ℤ
𝔽
○
≀
ℚ
◁