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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=
C
3
.A
4
Direct product G=N×Q with N=
C
7
and Q=
C
3
.A
4
d
ρ
Label
ID
C
7
×C
3
.A
4
126
3
C7xC3.A4
252,10
Semidirect products G=N:Q with N=
C
7
and Q=
C
3
.A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊(C
3
.A
4
) =
C
21
.A
4
φ:
C
3
.A
4
/
C
2
×C
6
→
C
3
⊆ Aut
C
7
126
3
C7:(C3.A4)
252,11
×
⋊
ℤ
𝔽
○
≀
ℚ
◁