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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
12
Direct product G=N×Q with N=
C
7
and Q=
C
12
d
ρ
Label
ID
C
84
84
1
C84
84,6
Semidirect products G=N:Q with N=
C
7
and Q=
C
12
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊C
12
=
C
7
⋊C
12
φ:
C
12
/
C
2
→
C
6
⊆ Aut
C
7
28
6-
C7:C12
84,1
C
7
⋊
2
C
12
=
C
4
×C
7
⋊C
3
φ:
C
12
/
C
4
→
C
3
⊆ Aut
C
7
28
3
C7:2C12
84,2
C
7
⋊
3
C
12
=
C
3
×Dic
7
φ:
C
12
/
C
6
→
C
2
⊆ Aut
C
7
84
2
C7:3C12
84,4
×
⋊
ℤ
𝔽
○
≀
ℚ
◁