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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
13
and Q=
D
4
Direct product G=N×Q with N=
D
13
and Q=
D
4
d
ρ
Label
ID
D
4
×D
13
52
4+
D4xD13
208,39
Non-split extensions G=N.Q with N=
D
13
and Q=
D
4
extension
φ:Q→Out N
d
ρ
Label
ID
D
13
.
1
D
4
=
C
52
⋊C
4
φ:
D
4
/
C
4
→
C
2
⊆ Out
D
13
52
4
D13.1D4
208,31
D
13
.
2
D
4
=
D
13
.D
4
φ:
D
4
/
C
2
2
→
C
2
⊆ Out
D
13
52
4+
D13.2D4
208,34
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ℤ
𝔽
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≀
ℚ
◁