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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
×C
4
and Q=
He
3
Direct product G=N×Q with N=
C
2
2
×C
4
and Q=
He
3
d
ρ
Label
ID
C
2
2
×C
4
×He
3
144
C2^2xC4xHe3
432,401
Semidirect products G=N:Q with N=
C
2
2
×C
4
and Q=
He
3
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
2
2
×C
4
)⋊He
3
=
C
4
×C
3
2
⋊A
4
φ:
He
3
/
C
3
2
→
C
3
⊆ Aut
C
2
2
×C
4
36
3
(C2^2xC4):He3
432,333
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