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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
5
×3
-
1+2
Direct product G=N×Q with N=
C
3
and Q=
C
5
×3
-
1+2
d
ρ
Label
ID
C
15
×3
-
1+2
135
C15xES-(3,1)
405,13
Non-split extensions G=N.Q with N=
C
3
and Q=
C
5
×3
-
1+2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
.
1
(C
5
×3
-
1+2
) =
C
5
×C
3
2
⋊C
9
central extension (φ=1)
135
C3.1(C5xES-(3,1))
405,3
C
3
.
2
(C
5
×3
-
1+2
) =
C
5
×C
9
⋊C
9
central extension (φ=1)
405
C3.2(C5xES-(3,1))
405,4
×
⋊
ℤ
𝔽
○
≀
ℚ
◁