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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
×C
6
and Q=
C
27
Direct product G=N×Q with N=
C
2
×C
6
and Q=
C
27
d
ρ
Label
ID
C
6
×C
54
324
C6xC54
324,84
Semidirect products G=N:Q with N=
C
2
×C
6
and Q=
C
27
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
2
×C
6
)⋊C
27
=
C
3
×C
9
.A
4
φ:
C
27
/
C
9
→
C
3
⊆ Aut
C
2
×C
6
162
(C2xC6):C27
324,44
Non-split extensions G=N.Q with N=
C
2
×C
6
and Q=
C
27
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
2
×C
6
).C
27
=
C
27
.A
4
φ:
C
27
/
C
9
→
C
3
⊆ Aut
C
2
×C
6
162
3
(C2xC6).C27
324,3
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