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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
×D
7
Direct product G=N×Q with N=
C
5
and Q=
C
2
2
×D
7
d
ρ
Label
ID
D
7
×C
2
×C
10
140
D7xC2xC10
280,37
Semidirect products G=N:Q with N=
C
5
and Q=
C
2
2
×D
7
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊
1
(C
2
2
×D
7
) =
C
2
×D
5
×D
7
φ:
C
2
2
×D
7
/
D
14
→
C
2
⊆ Aut
C
5
70
4+
C5:1(C2^2xD7)
280,36
C
5
⋊
2
(C
2
2
×D
7
) =
C
2
2
×D
35
φ:
C
2
2
×D
7
/
C
2
×C
14
→
C
2
⊆ Aut
C
5
140
C5:2(C2^2xD7)
280,39
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