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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
and Q=
C
54
Direct product G=N×Q with N=
C
2
2
and Q=
C
54
d
ρ
Label
ID
C
2
2
×C
54
216
C2^2xC54
216,24
Semidirect products G=N:Q with N=
C
2
2
and Q=
C
54
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
⋊C
54
=
C
2
×C
9
.A
4
φ:
C
54
/
C
18
→
C
3
⊆ Aut
C
2
2
54
3
C2^2:C54
216,22
C
2
2
⋊
2
C
54
=
D
4
×C
27
φ:
C
54
/
C
27
→
C
2
⊆ Aut
C
2
2
108
2
C2^2:2C54
216,10
×
⋊
ℤ
𝔽
○
≀
ℚ
◁