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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
6
×C
30
Direct product G=N×Q with N=
C
2
and Q=
C
6
×C
30
d
ρ
Label
ID
C
2
×C
6
×C
30
360
C2xC6xC30
360,162
Non-split extensions G=N.Q with N=
C
2
and Q=
C
6
×C
30
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.
1
(C
6
×C
30
) =
D
4
×C
3
×C
15
central stem extension (φ=1)
180
C2.1(C6xC30)
360,116
C
2
.
2
(C
6
×C
30
) =
Q
8
×C
3
×C
15
central stem extension (φ=1)
360
C2.2(C6xC30)
360,117
×
⋊
ℤ
𝔽
○
≀
ℚ
◁