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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
×Q
8
and Q=
C
27
Direct product G=N×Q with N=
C
2
×Q
8
and Q=
C
27
d
ρ
Label
ID
Q
8
×C
54
432
Q8xC54
432,55
Semidirect products G=N:Q with N=
C
2
×Q
8
and Q=
C
27
extension
φ:Q→Out N
d
ρ
Label
ID
(C
2
×Q
8
)⋊C
27
=
C
2
×Q
8
⋊C
27
φ:
C
27
/
C
9
→
C
3
⊆ Out
C
2
×Q
8
432
(C2xQ8):C27
432,41
×
⋊
ℤ
𝔽
○
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ℚ
◁