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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
3
and Q=
C
3
×C
15
Direct product G=N×Q with N=
C
3
and Q=
C
3
×C
15
d
ρ
Label
ID
C
3
2
×C
15
135
C3^2xC15
135,5
Non-split extensions G=N.Q with N=
C
3
and Q=
C
3
×C
15
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
.
1
(C
3
×C
15
) =
C
5
×He
3
central stem extension (φ=1)
45
3
C3.1(C3xC15)
135,3
C
3
.
2
(C
3
×C
15
) =
C
5
×3
-
1+2
central stem extension (φ=1)
45
3
C3.2(C3xC15)
135,4
×
⋊
ℤ
𝔽
○
≀
ℚ
◁