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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
4
Direct product G=N×Q with N=
A
4
and Q=
D
4
d
ρ
Label
ID
D
4
×A
4
12
6+
D4xA4
96,197
Semidirect products G=N:Q with N=
A
4
and Q=
D
4
extension
φ:Q→Out N
d
ρ
Label
ID
A
4
⋊
1
D
4
=
C
4
⋊S
4
φ:
D
4
/
C
4
→
C
2
⊆ Out
A
4
12
6+
A4:1D4
96,187
A
4
⋊
2
D
4
=
A
4
⋊D
4
φ:
D
4
/
C
2
2
→
C
2
⊆ Out
A
4
12
6+
A4:2D4
96,195
×
⋊
ℤ
𝔽
○
≀
ℚ
◁