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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
4
×C
4
and Q=
C
3
Direct product G=N×Q with N=
C
2
4
×C
4
and Q=
C
3
d
ρ
Label
ID
C
2
4
×C
12
192
C2^4xC12
192,1530
Semidirect products G=N:Q with N=
C
2
4
×C
4
and Q=
C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
2
4
×C
4
)⋊
1
C
3
=
A
4
×C
2
2
×C
4
φ:
C
3
/
C
1
→
C
3
⊆ Aut
C
2
4
×C
4
48
(C2^4xC4):1C3
192,1496
(C
2
4
×C
4
)⋊
2
C
3
=
C
4
×C
2
2
⋊A
4
φ:
C
3
/
C
1
→
C
3
⊆ Aut
C
2
4
×C
4
24
(C2^4xC4):2C3
192,1505
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