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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
3
and Q=
C
4
×C
16
Direct product G=N×Q with N=
C
3
and Q=
C
4
×C
16
d
ρ
Label
ID
C
4
×C
48
192
C4xC48
192,151
Semidirect products G=N:Q with N=
C
3
and Q=
C
4
×C
16
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊
1
(C
4
×C
16
) =
C
4
×C
3
⋊C
16
φ:
C
4
×C
16
/
C
4
×C
8
→
C
2
⊆ Aut
C
3
192
C3:1(C4xC16)
192,19
C
3
⋊
2
(C
4
×C
16
) =
Dic
3
×C
16
φ:
C
4
×C
16
/
C
2
×C
16
→
C
2
⊆ Aut
C
3
192
C3:2(C4xC16)
192,59
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𝔽
○
≀
ℚ
◁