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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=
M
6
(2)
Direct product G=N×Q with N=
C
7
and Q=
M
6
(2)
d
ρ
Label
ID
C
7
×M
6
(2)
224
2
C7xM6(2)
448,174
Semidirect products G=N:Q with N=
C
7
and Q=
M
6
(2)
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊
1
M
6
(2) =
C
32
⋊D
7
φ:
M
6
(2)
/
C
32
→
C
2
⊆ Aut
C
7
224
2
C7:1M6(2)
448,4
C
7
⋊
2
M
6
(2) =
C
7
⋊M
6
(2)
φ:
M
6
(2)
/
C
2
×C
16
→
C
2
⊆ Aut
C
7
224
2
C7:2M6(2)
448,56
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