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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
2
⋊C
3
Direct product G=N×Q with N=
C
5
and Q=
C
5
2
⋊C
3
d
ρ
Label
ID
C
5
×C
5
2
⋊C
3
15
3
C5xC5^2:C3
375,6
Non-split extensions G=N.Q with N=
C
5
and Q=
C
5
2
⋊C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
.(C
5
2
⋊C
3
) =
He
5
⋊C
3
central stem extension (φ=1)
75
5
C5.(C5^2:C3)
375,2
×
⋊
ℤ
𝔽
○
≀
ℚ
◁