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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
5
×C
15
Direct product G=N×Q with N=
C
5
and Q=
C
5
×C
15
d
ρ
Label
ID
C
5
2
×C
15
375
C5^2xC15
375,7
Non-split extensions G=N.Q with N=
C
5
and Q=
C
5
×C
15
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
.
1
(C
5
×C
15
) =
C
3
×He
5
central stem extension (φ=1)
75
5
C5.1(C5xC15)
375,4
C
5
.
2
(C
5
×C
15
) =
C
3
×5
-
 1+2
central stem extension (φ=1)
75
5
C5.2(C5xC15)
375,5
×
⋊
ℤ
𝔽
○
≀
ℚ
◁