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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
48
Direct product G=N×Q with N=
C
3
and Q=
C
48
d
ρ
Label
ID
C
3
×C
48
144
C3xC48
144,30
Semidirect products G=N:Q with N=
C
3
and Q=
C
48
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊C
48
=
C
3
×C
3
⋊C
16
φ:
C
48
/
C
24
→
C
2
⊆ Aut
C
3
48
2
C3:C48
144,28
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⋊
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𝔽
○
≀
ℚ
◁