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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
84
Direct product G=N×Q with N=
C
3
and Q=
C
84
d
ρ
Label
ID
C
3
×C
84
252
C3xC84
252,25
Semidirect products G=N:Q with N=
C
3
and Q=
C
84
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊C
84
=
Dic
3
×C
21
φ:
C
84
/
C
42
→
C
2
⊆ Aut
C
3
84
2
C3:C84
252,21
×
⋊
ℤ
𝔽
○
≀
ℚ
◁