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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
6
and Q=
C
6
Direct product G=N×Q with N=
C
6
and Q=
C
6
d
ρ
Label
ID
C
6
2
36
C6^2
36,14
Semidirect products G=N:Q with N=
C
6
and Q=
C
6
extension
φ:Q→Aut N
d
ρ
Label
ID
C
6
⋊C
6
=
S
3
×C
6
φ:
C
6
/
C
3
→
C
2
⊆ Aut
C
6
12
2
C6:C6
36,12
Non-split extensions G=N.Q with N=
C
6
and Q=
C
6
extension
φ:Q→Aut N
d
ρ
Label
ID
C
6
.C
6
=
C
3
×Dic
3
φ:
C
6
/
C
3
→
C
2
⊆ Aut
C
6
12
2
C6.C6
36,6
×
⋊
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𝔽
○
≀
ℚ
◁