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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
16
Direct product G=N×Q with N=
D
5
and Q=
Q
16
d
ρ
Label
ID
D
5
×Q
16
80
4-
D5xQ16
160,138
Non-split extensions G=N.Q with N=
D
5
and Q=
Q
16
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.
1
Q
16
=
D
5
.D
8
φ:
Q
16
/
C
8
→
C
2
⊆ Out
D
5
40
4
D5.1Q16
160,69
D
5
.
2
Q
16
=
Q
8
⋊F
5
φ:
Q
16
/
Q
8
→
C
2
⊆ Out
D
5
40
8-
D5.2Q16
160,84
×
⋊
ℤ
𝔽
○
≀
ℚ
◁