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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
27
and Q=
C
2
4
Direct product G=N×Q with N=
C
27
and Q=
C
2
4
d
ρ
Label
ID
C
2
3
×C
54
432
C2^3xC54
432,228
Semidirect products G=N:Q with N=
C
27
and Q=
C
2
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
27
⋊C
2
4
=
C
2
3
×D
27
φ:
C
2
4
/
C
2
3
→
C
2
⊆ Aut
C
27
216
C27:C2^4
432,227
×
⋊
ℤ
𝔽
○
≀
ℚ
◁