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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
125
and Q=
C
2
Direct product G=N×Q with N=
D
125
and Q=
C
2
d
ρ
Label
ID
D
250
250
2+
D250
500,4
Non-split extensions G=N.Q with N=
D
125
and Q=
C
2
extension
φ:Q→Out N
d
ρ
Label
ID
D
125
.C
2
=
C
125
⋊C
4
φ:
C
2
/
C
1
→
C
2
⊆ Out
D
125
125
4+
D125.C2
500,3
×
⋊
ℤ
𝔽
○
≀
ℚ
◁