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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=
C
7
and Q=
S
4
Direct product G=N×Q with N=
C
7
and Q=
S
4
d
ρ
Label
ID
C
7
×S
4
28
3
C7xS4
168,45
Semidirect products G=N:Q with N=
C
7
and Q=
S
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊S
4
=
C
7
⋊S
4
φ:
S
4
/
A
4
→
C
2
⊆ Aut
C
7
28
6+
C7:S4
168,46
×
⋊
ℤ
𝔽
○
≀
ℚ
◁