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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
3
.
84
C
2
3
Direct product G=N×Q with N=
C
3
and Q=
C
2
3
.
84
C
2
3
d
ρ
Label
ID
C
3
×C
2
3
.
84
C
2
3
192
C3xC2^3.84C2^3
192,834
Semidirect products G=N:Q with N=
C
3
and Q=
C
2
3
.
84
C
2
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊(C
2
3
.
84
C
2
3
) =
(C
2
2
×C
4
).
30
D
6
φ:
C
2
3
.
84
C
2
3
/
C
2
.C
4
2
→
C
2
⊆ Aut
C
3
192
C3:(C2^3.84C2^3)
192,221
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≀
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