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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=
D
22
Direct product G=N×Q with N=
D
5
and Q=
D
22
d
ρ
Label
ID
C
2
×D
5
×D
11
110
4+
C2xD5xD11
440,47
Non-split extensions G=N.Q with N=
D
5
and Q=
D
22
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.
1
D
22
=
F
5
×D
11
φ:
D
22
/
D
11
→
C
2
⊆ Out
D
5
55
8+
D5.1D22
440,43
D
5
.
2
D
22
=
C
2
×C
11
⋊F
5
φ:
D
22
/
C
22
→
C
2
⊆ Out
D
5
110
4
D5.2D22
440,46
×
⋊
ℤ
𝔽
○
≀
ℚ
◁