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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
4
Direct product G=N×Q with N=
C
7
⋊C
3
and Q=
C
2
×C
4
d
ρ
Label
ID
C
2
×C
4
×C
7
⋊C
3
56
C2xC4xC7:C3
168,19
Semidirect products G=N:Q with N=
C
7
⋊C
3
and Q=
C
2
×C
4
extension
φ:Q→Out N
d
ρ
Label
ID
C
7
⋊C
3
⋊
1
(C
2
×C
4
) =
C
4
×F
7
φ:
C
2
×C
4
/
C
4
→
C
2
⊆ Out
C
7
⋊C
3
28
6
C7:C3:1(C2xC4)
168,8
C
7
⋊C
3
⋊
2
(C
2
×C
4
) =
C
2
×C
7
⋊C
12
φ:
C
2
×C
4
/
C
2
2
→
C
2
⊆ Out
C
7
⋊C
3
56
C7:C3:2(C2xC4)
168,10
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