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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
3
Direct product G=N×Q with N=
C
7
and Q=
C
2
3
d
ρ
Label
ID
C
2
2
×C
14
56
C2^2xC14
56,13
Semidirect products G=N:Q with N=
C
7
and Q=
C
2
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊C
2
3
=
C
2
2
×D
7
φ:
C
2
3
/
C
2
2
→
C
2
⊆ Aut
C
7
28
C7:C2^3
56,12
×
⋊
ℤ
𝔽
○
≀
ℚ
◁