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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
4
○D
4
and Q=
C
3
2
Direct product G=N×Q with N=
C
4
○D
4
and Q=
C
3
2
d
ρ
Label
ID
C
3
2
×C
4
○D
4
72
C3^2xC4oD4
144,181
Semidirect products G=N:Q with N=
C
4
○D
4
and Q=
C
3
2
extension
φ:Q→Out N
d
ρ
Label
ID
C
4
○D
4
⋊C
3
2
=
C
3
×C
4
.A
4
φ:
C
3
2
/
C
3
→
C
3
⊆ Out
C
4
○D
4
48
2
C4oD4:C3^2
144,157
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ℚ
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