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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=
Q
8
and Q=
He
3
Direct product G=N×Q with N=
Q
8
and Q=
He
3
d
ρ
Label
ID
Q
8
×He
3
72
6
Q8xHe3
216,80
Semidirect products G=N:Q with N=
Q
8
and Q=
He
3
extension
φ:Q→Out N
d
ρ
Label
ID
Q
8
⋊He
3
=
Q
8
⋊He
3
φ:
He
3
/
C
3
2
→
C
3
⊆ Out
Q
8
72
6
Q8:He3
216,42
×
⋊
ℤ
𝔽
○
≀
ℚ
◁