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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
10
Direct product G=N×Q with N=
C
7
⋊C
3
and Q=
C
2
×C
10
d
ρ
Label
ID
C
2
×C
10
×C
7
⋊C
3
140
C2xC10xC7:C3
420,31
Semidirect products G=N:Q with N=
C
7
⋊C
3
and Q=
C
2
×C
10
extension
φ:Q→Out N
d
ρ
Label
ID
C
7
⋊C
3
⋊(C
2
×C
10
) =
C
10
×F
7
φ:
C
2
×C
10
/
C
10
→
C
2
⊆ Out
C
7
⋊C
3
70
6
C7:C3:(C2xC10)
420,17
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