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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
5
and Q=
Q
32
Direct product G=N×Q with N=
D
5
and Q=
Q
32
d
ρ
Label
ID
D
5
×Q
32
160
4-
D5xQ32
320,544
Non-split extensions G=N.Q with N=
D
5
and Q=
Q
32
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.
1
Q
32
=
C
80
⋊
2
C
4
φ:
Q
32
/
C
16
→
C
2
⊆ Out
D
5
80
4
D5.1Q32
320,187
D
5
.
2
Q
32
=
D
5
.Q
32
φ:
Q
32
/
Q
16
→
C
2
⊆ Out
D
5
80
8-
D5.2Q32
320,246
×
⋊
ℤ
𝔽
○
≀
ℚ
◁