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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
3
×C
27
Direct product G=N×Q with N=
C
2
2
and Q=
C
3
×C
27
d
ρ
Label
ID
C
6
×C
54
324
C6xC54
324,84
Semidirect products G=N:Q with N=
C
2
2
and Q=
C
3
×C
27
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
⋊
1
(C
3
×C
27
) =
A
4
×C
27
φ:
C
3
×C
27
/
C
27
→
C
3
⊆ Aut
C
2
2
108
3
C2^2:1(C3xC27)
324,42
C
2
2
⋊
2
(C
3
×C
27
) =
C
3
×C
9
.A
4
φ:
C
3
×C
27
/
C
3
×C
9
→
C
3
⊆ Aut
C
2
2
162
C2^2:2(C3xC27)
324,44
×
⋊
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𝔽
○
≀
ℚ
◁