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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
3
×S
3
and Q=
D
7
Direct product G=N×Q with N=
C
3
×S
3
and Q=
D
7
d
ρ
Label
ID
C
3
×S
3
×D
7
42
4
C3xS3xD7
252,33
Semidirect products G=N:Q with N=
C
3
×S
3
and Q=
D
7
extension
φ:Q→Out N
d
ρ
Label
ID
(C
3
×S
3
)⋊D
7
=
S
3
×D
21
φ:
D
7
/
C
7
→
C
2
⊆ Out
C
3
×S
3
42
4+
(C3xS3):D7
252,36
×
⋊
ℤ
𝔽
○
≀
ℚ
◁