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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
⋊C
3
and Q=
C
2
×C
8
Direct product G=N×Q with N=
C
7
⋊C
3
and Q=
C
2
×C
8
d
ρ
Label
ID
C
2
×C
8
×C
7
⋊C
3
112
C2xC8xC7:C3
336,51
Semidirect products G=N:Q with N=
C
7
⋊C
3
and Q=
C
2
×C
8
extension
φ:Q→Out N
d
ρ
Label
ID
C
7
⋊C
3
⋊
1
(C
2
×C
8
) =
C
8
×F
7
φ:
C
2
×C
8
/
C
8
→
C
2
⊆ Out
C
7
⋊C
3
56
6
C7:C3:1(C2xC8)
336,7
C
7
⋊C
3
⋊
2
(C
2
×C
8
) =
C
2
×C
7
⋊C
24
φ:
C
2
×C
8
/
C
2
×C
4
→
C
2
⊆ Out
C
7
⋊C
3
112
C7:C3:2(C2xC8)
336,12
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