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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=
2
-
1+4
Direct product G=N×Q with N=
C
7
and Q=
2
-
1+4
d
ρ
Label
ID
C
7
×2
-
1+4
112
4
C7xES-(2,2)
224,194
Semidirect products G=N:Q with N=
C
7
and Q=
2
-
1+4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊
1
2
-
1+4
=
Q
8
.
10
D
14
φ:
2
-
1+4
/
C
2
×Q
8
→
C
2
⊆ Aut
C
7
112
4
C7:1ES-(2,2)
224,183
C
7
⋊
2
2
-
1+4
=
D
4
.
10
D
14
φ:
2
-
1+4
/
C
4
○D
4
→
C
2
⊆ Aut
C
7
112
4-
C7:2ES-(2,2)
224,186
×
⋊
ℤ
𝔽
○
≀
ℚ
◁