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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=
D
7
and Q=
C
3
×S
3
Direct product G=N×Q with N=
D
7
and Q=
C
3
×S
3
d
ρ
Label
ID
C
3
×S
3
×D
7
42
4
C3xS3xD7
252,33
Semidirect products G=N:Q with N=
D
7
and Q=
C
3
×S
3
extension
φ:Q→Out N
d
ρ
Label
ID
D
7
⋊(C
3
×S
3
) =
S
3
×F
7
φ:
C
3
×S
3
/
S
3
→
C
3
⊆ Out
D
7
21
12+
D7:(C3xS3)
252,26
×
⋊
ℤ
𝔽
○
≀
ℚ
◁