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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
3
and Q=
C
2
6
Direct product G=N×Q with N=
C
3
and Q=
C
2
6
d
ρ
Label
ID
C
2
5
×C
6
192
C2^5xC6
192,1543
Semidirect products G=N:Q with N=
C
3
and Q=
C
2
6
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊C
2
6
=
S
3
×C
2
5
φ:
C
2
6
/
C
2
5
→
C
2
⊆ Aut
C
3
96
C3:C2^6
192,1542
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⋊
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𝔽
○
≀
ℚ
◁