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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
7
Direct product G=N×Q with N=
A
4
and Q=
D
7
d
ρ
Label
ID
A
4
×D
7
28
6+
A4xD7
168,48
Semidirect products G=N:Q with N=
A
4
and Q=
D
7
extension
φ:Q→Out N
d
ρ
Label
ID
A
4
⋊D
7
=
C
7
⋊S
4
φ:
D
7
/
C
7
→
C
2
⊆ Out
A
4
28
6+
A4:D7
168,46
×
⋊
ℤ
𝔽
○
≀
ℚ
◁