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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
and Q=
C
3
×C
30
Direct product G=N×Q with N=
C
2
2
and Q=
C
3
×C
30
d
ρ
Label
ID
C
2
×C
6
×C
30
360
C2xC6xC30
360,162
Semidirect products G=N:Q with N=
C
2
2
and Q=
C
3
×C
30
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
⋊(C
3
×C
30
) =
A
4
×C
30
φ:
C
3
×C
30
/
C
30
→
C
3
⊆ Aut
C
2
2
90
3
C2^2:(C3xC30)
360,156
C
2
2
⋊
2
(C
3
×C
30
) =
D
4
×C
3
×C
15
φ:
C
3
×C
30
/
C
3
×C
15
→
C
2
⊆ Aut
C
2
2
180
C2^2:2(C3xC30)
360,116
×
⋊
ℤ
𝔽
○
≀
ℚ
◁