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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
2
and Q=
C
3
×He
3
Direct product G=N×Q with N=
C
2
2
and Q=
C
3
×He
3
d
ρ
Label
ID
C
2
×C
6
×He
3
108
C2xC6xHe3
324,152
Semidirect products G=N:Q with N=
C
2
2
and Q=
C
3
×He
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
⋊
1
(C
3
×He
3
) =
A
4
×He
3
φ:
C
3
×He
3
/
He
3
→
C
3
⊆ Aut
C
2
2
36
9
C2^2:1(C3xHe3)
324,130
C
2
2
⋊
2
(C
3
×He
3
) =
C
3
×C
3
2
⋊A
4
φ:
C
3
×He
3
/
C
3
3
→
C
3
⊆ Aut
C
2
2
54
C2^2:2(C3xHe3)
324,135
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≀
ℚ
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