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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
2
⋊C
4
Direct product G=N×Q with N=
C
3
and Q=
C
4
2
⋊C
4
d
ρ
Label
ID
C
3
×C
4
2
⋊C
4
24
4
C3xC4^2:C4
192,159
Semidirect products G=N:Q with N=
C
3
and Q=
C
4
2
⋊C
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊
1
(C
4
2
⋊C
4
) =
C
2
3
.
2
D
12
φ:
C
4
2
⋊C
4
/
C
2
3
⋊C
4
→
C
2
⊆ Aut
C
3
24
8+
C3:1(C4^2:C4)
192,33
C
3
⋊
2
(C
4
2
⋊C
4
) =
C
4
2
⋊
5
Dic
3
φ:
C
4
2
⋊C
4
/
C
4
⋊
1
D
4
→
C
2
⊆ Aut
C
3
24
4
C3:2(C4^2:C4)
192,104
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