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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=
D
25
and Q=
C
2
3
Direct product G=N×Q with N=
D
25
and Q=
C
2
3
d
ρ
Label
ID
C
2
3
×D
25
200
C2^3xD25
400,54
Non-split extensions G=N.Q with N=
D
25
and Q=
C
2
3
extension
φ:Q→Out N
d
ρ
Label
ID
D
25
.C
2
3
=
C
2
2
×C
25
⋊C
4
φ:
C
2
3
/
C
2
2
→
C
2
⊆ Out
D
25
100
D25.C2^3
400,53
×
⋊
ℤ
𝔽
○
≀
ℚ
◁