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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=
He
3
and Q=
C
14
Direct product G=N×Q with N=
He
3
and Q=
C
14
d
ρ
Label
ID
C
14
×He
3
126
3
C14xHe3
378,45
Semidirect products G=N:Q with N=
He
3
and Q=
C
14
extension
φ:Q→Out N
d
ρ
Label
ID
He
3
⋊
1
C
14
=
C
7
×C
3
2
⋊C
6
φ:
C
14
/
C
7
→
C
2
⊆ Out
He
3
63
6
He3:1C14
378,34
He
3
⋊
2
C
14
=
C
7
×He
3
⋊C
2
φ:
C
14
/
C
7
→
C
2
⊆ Out
He
3
63
3
He3:2C14
378,41
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⋊
ℤ
𝔽
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ℚ
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