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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=
S
3
Direct product G=N×Q with N=
D
25
and Q=
S
3
d
ρ
Label
ID
S
3
×D
25
75
4+
S3xD25
300,7
Non-split extensions G=N.Q with N=
D
25
and Q=
S
3
extension
φ:Q→Out N
d
ρ
Label
ID
D
25
.S
3
=
C
75
⋊C
4
φ:
S
3
/
C
3
→
C
2
⊆ Out
D
25
75
4
D25.S3
300,6
×
⋊
ℤ
𝔽
○
≀
ℚ
◁