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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
2
3
.C
8
Direct product G=N×Q with N=
C
7
and Q=
C
2
3
.C
8
d
ρ
Label
ID
C
7
×C
2
3
.C
8
112
4
C7xC2^3.C8
448,153
Semidirect products G=N:Q with N=
C
7
and Q=
C
2
3
.C
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊
1
(C
2
3
.C
8
) =
M
5
(2)⋊D
7
φ:
C
2
3
.C
8
/
M
5
(2)
→
C
2
⊆ Aut
C
7
112
4
C7:1(C2^3.C8)
448,71
C
7
⋊
2
(C
2
3
.C
8
) =
C
56
.D
4
φ:
C
2
3
.C
8
/
C
2
×M
4
(2)
→
C
2
⊆ Aut
C
7
112
4
C7:2(C2^3.C8)
448,110
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