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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=
D
4
Direct product G=N×Q with N=
C
27
and Q=
D
4
d
ρ
Label
ID
D
4
×C
27
108
2
D4xC27
216,10
Semidirect products G=N:Q with N=
C
27
and Q=
D
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
27
⋊
1
D
4
=
D
108
φ:
D
4
/
C
4
→
C
2
⊆ Aut
C
27
108
2+
C27:1D4
216,6
C
27
⋊
2
D
4
=
C
27
⋊D
4
φ:
D
4
/
C
2
2
→
C
2
⊆ Aut
C
27
108
2
C27:2D4
216,8
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𝔽
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ℚ
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