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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
×C
8
and Q=
C
3
Direct product G=N×Q with N=
C
2
2
×C
8
and Q=
C
3
d
ρ
Label
ID
C
2
2
×C
24
96
C2^2xC24
96,176
Semidirect products G=N:Q with N=
C
2
2
×C
8
and Q=
C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
2
2
×C
8
)⋊C
3
=
C
8
×A
4
φ:
C
3
/
C
1
→
C
3
⊆ Aut
C
2
2
×C
8
24
3
(C2^2xC8):C3
96,73
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𝔽
○
≀
ℚ
◁