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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
54
and Q=
C
4
Direct product G=N×Q with N=
C
54
and Q=
C
4
d
ρ
Label
ID
C
2
×C
108
216
C2xC108
216,9
Semidirect products G=N:Q with N=
C
54
and Q=
C
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
54
⋊C
4
=
C
2
×Dic
27
φ:
C
4
/
C
2
→
C
2
⊆ Aut
C
54
216
C54:C4
216,7
Non-split extensions G=N.Q with N=
C
54
and Q=
C
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
54
.C
4
=
C
27
⋊C
8
φ:
C
4
/
C
2
→
C
2
⊆ Aut
C
54
216
2
C54.C4
216,1
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𝔽
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ℚ
◁