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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
2
2
×C
10
and Q=
C
7
Direct product G=N×Q with N=
C
2
2
×C
10
and Q=
C
7
d
ρ
Label
ID
C
2
2
×C
70
280
C2^2xC70
280,40
Semidirect products G=N:Q with N=
C
2
2
×C
10
and Q=
C
7
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
2
2
×C
10
)⋊C
7
=
C
5
×F
8
φ:
C
7
/
C
1
→
C
7
⊆ Aut
C
2
2
×C
10
40
7
(C2^2xC10):C7
280,33
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