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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
and Q=
C
2
2
×D
5
Direct product G=N×Q with N=
C
7
and Q=
C
2
2
×D
5
d
ρ
Label
ID
D
5
×C
2
×C
14
140
D5xC2xC14
280,38
Semidirect products G=N:Q with N=
C
7
and Q=
C
2
2
×D
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊
1
(C
2
2
×D
5
) =
C
2
×D
5
×D
7
φ:
C
2
2
×D
5
/
D
10
→
C
2
⊆ Aut
C
7
70
4+
C7:1(C2^2xD5)
280,36
C
7
⋊
2
(C
2
2
×D
5
) =
C
2
2
×D
35
φ:
C
2
2
×D
5
/
C
2
×C
10
→
C
2
⊆ Aut
C
7
140
C7:2(C2^2xD5)
280,39
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