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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
2
.A
4
and Q=
C
2
2
Direct product G=N×Q with N=
C
3
2
.A
4
and Q=
C
2
2
d
ρ
Label
ID
C
2
2
×C
3
2
.A
4
36
C2^2xC3^2.A4
432,549
Semidirect products G=N:Q with N=
C
3
2
.A
4
and Q=
C
2
2
extension
φ:Q→Out N
d
ρ
Label
ID
C
3
2
.A
4
⋊C
2
2
=
C
2
×C
3
2
.S
4
φ:
C
2
2
/
C
2
→
C
2
⊆ Out
C
3
2
.A
4
18
6+
C3^2.A4:C2^2
432,533
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𝔽
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ℚ
◁