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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
21
Direct product G=N×Q with N=
D
7
and Q=
C
21
d
ρ
Label
ID
D
7
×C
21
42
2
D7xC21
294,18
Semidirect products G=N:Q with N=
D
7
and Q=
C
21
extension
φ:Q→Out N
d
ρ
Label
ID
D
7
⋊C
21
=
C
7
×F
7
φ:
C
21
/
C
7
→
C
3
⊆ Out
D
7
42
6
D7:C21
294,8
×
⋊
ℤ
𝔽
○
≀
ℚ
◁