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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=
S
3
×C
7
and Q=
C
9
Direct product G=N×Q with N=
S
3
×C
7
and Q=
C
9
d
ρ
Label
ID
S
3
×C
63
126
2
S3xC63
378,33
Semidirect products G=N:Q with N=
S
3
×C
7
and Q=
C
9
extension
φ:Q→Out N
d
ρ
Label
ID
(S
3
×C
7
)⋊C
9
=
S
3
×C
7
⋊C
9
φ:
C
9
/
C
3
→
C
3
⊆ Out
S
3
×C
7
126
6
(S3xC7):C9
378,16
×
⋊
ℤ
𝔽
○
≀
ℚ
◁