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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
21
and Q=
C
3
Direct product G=N×Q with N=
C
21
and Q=
C
3
d
ρ
Label
ID
C
3
×C
21
63
C3xC21
63,4
Semidirect products G=N:Q with N=
C
21
and Q=
C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
21
⋊C
3
=
C
3
×C
7
⋊C
3
φ:
C
3
/
C
1
→
C
3
⊆ Aut
C
21
21
3
C21:C3
63,3
Non-split extensions G=N.Q with N=
C
21
and Q=
C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
21
.C
3
=
C
7
⋊C
9
φ:
C
3
/
C
1
→
C
3
⊆ Aut
C
21
63
3
C21.C3
63,1
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⋊
ℤ
𝔽
○
≀
ℚ
◁