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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=
A
4
and Q=
D
17
Direct product G=N×Q with N=
A
4
and Q=
D
17
d
ρ
Label
ID
A
4
×D
17
68
6+
A4xD17
408,38
Semidirect products G=N:Q with N=
A
4
and Q=
D
17
extension
φ:Q→Out N
d
ρ
Label
ID
A
4
⋊D
17
=
C
17
⋊S
4
φ:
D
17
/
C
17
→
C
2
⊆ Out
A
4
68
6+
A4:D17
408,37
×
⋊
ℤ
𝔽
○
≀
ℚ
◁