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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
4
2
and Q=
C
27
Direct product G=N×Q with N=
C
4
2
and Q=
C
27
d
ρ
Label
ID
C
4
×C
108
432
C4xC108
432,20
Semidirect products G=N:Q with N=
C
4
2
and Q=
C
27
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
2
⋊C
27
=
C
4
2
⋊C
27
φ:
C
27
/
C
9
→
C
3
⊆ Aut
C
4
2
108
3
C4^2:C27
432,3
×
⋊
ℤ
𝔽
○
≀
ℚ
◁