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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
6
Direct product G=N×Q with N=
C
7
and Q=
C
6
d
ρ
Label
ID
C
42
42
1
C42
42,6
Semidirect products G=N:Q with N=
C
7
and Q=
C
6
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊C
6
=
F
7
φ:
C
6
/
C
1
→
C
6
⊆ Aut
C
7
7
6+
C7:C6
42,1
C
7
⋊
2
C
6
=
C
2
×C
7
⋊C
3
φ:
C
6
/
C
2
→
C
3
⊆ Aut
C
7
14
3
C7:2C6
42,2
C
7
⋊
3
C
6
=
C
3
×D
7
φ:
C
6
/
C
3
→
C
2
⊆ Aut
C
7
21
2
C7:3C6
42,4
×
⋊
ℤ
𝔽
○
≀
ℚ
◁