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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
27
⋊C
3
Direct product G=N×Q with N=
C
2
2
and Q=
C
27
⋊C
3
d
ρ
Label
ID
C
2
2
×C
27
⋊C
3
108
C2^2xC27:C3
324,85
Semidirect products G=N:Q with N=
C
2
2
and Q=
C
27
⋊C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
⋊
1
(C
27
⋊C
3
) =
C
27
⋊A
4
φ:
C
27
⋊C
3
/
C
27
→
C
3
⊆ Aut
C
2
2
108
3
C2^2:1(C27:C3)
324,43
C
2
2
⋊
2
(C
27
⋊C
3
) =
C
6
2
.C
9
φ:
C
27
⋊C
3
/
C
3
×C
9
→
C
3
⊆ Aut
C
2
2
54
3
C2^2:2(C27:C3)
324,45
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