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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
2
Direct product G=N×Q with N=
C
54
and Q=
C
2
d
ρ
Label
ID
C
2
×C
54
108
C2xC54
108,5
Semidirect products G=N:Q with N=
C
54
and Q=
C
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
54
⋊C
2
=
D
54
φ:
C
2
/
C
1
→
C
2
⊆ Aut
C
54
54
2+
C54:C2
108,4
Non-split extensions G=N.Q with N=
C
54
and Q=
C
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
54
.C
2
=
Dic
27
φ:
C
2
/
C
1
→
C
2
⊆ Aut
C
54
108
2-
C54.C2
108,1
×
⋊
ℤ
𝔽
○
≀
ℚ
◁