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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
5
and Q=
C
2
2
×C
7
⋊C
3
Direct product G=N×Q with N=
C
5
and Q=
C
2
2
×C
7
⋊C
3
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
5
and Q=
C
2
2
×C
7
⋊C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊(C
2
2
×C
7
⋊C
3
) =
C
2
×D
5
×C
7
⋊C
3
φ:
C
2
2
×C
7
⋊C
3
/
C
2
×C
7
⋊C
3
→
C
2
⊆ Aut
C
5
70
6
C5:(C2^2xC7:C3)
420,18
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ℚ
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