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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
2
2
×C
8
and Q=
C
3
2
Direct product G=N×Q with N=
C
2
2
×C
8
and Q=
C
3
2
d
ρ
Label
ID
C
2
×C
6
×C
24
288
C2xC6xC24
288,826
Semidirect products G=N:Q with N=
C
2
2
×C
8
and Q=
C
3
2
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
2
2
×C
8
)⋊C
3
2
=
A
4
×C
24
φ:
C
3
2
/
C
3
→
C
3
⊆ Aut
C
2
2
×C
8
72
3
(C2^2xC8):C3^2
288,637
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