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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=
3
-
1+2
and Q=
C
4
2
Direct product G=N×Q with N=
3
-
1+2
and Q=
C
4
2
d
ρ
Label
ID
C
4
2
×3
-
1+2
144
C4^2xES-(3,1)
432,202
Semidirect products G=N:Q with N=
3
-
1+2
and Q=
C
4
2
extension
φ:Q→Out N
d
ρ
Label
ID
3
-
1+2
⋊C
4
2
=
C
4
×C
9
⋊C
12
φ:
C
4
2
/
C
2
×C
4
→
C
2
⊆ Out
3
-
1+2
144
ES-(3,1):C4^2
432,144
×
⋊
ℤ
𝔽
○
≀
ℚ
◁