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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
2
and Q=
C
21
Direct product G=N×Q with N=
C
3
2
and Q=
C
21
d
ρ
Label
ID
C
3
2
×C
21
189
C3^2xC21
189,13
Semidirect products G=N:Q with N=
C
3
2
and Q=
C
21
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
2
⋊C
21
=
C
7
×He
3
φ:
C
21
/
C
7
→
C
3
⊆ Aut
C
3
2
63
3
C3^2:C21
189,10
Non-split extensions G=N.Q with N=
C
3
2
and Q=
C
21
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
2
.C
21
=
C
7
×3
-
1+2
φ:
C
21
/
C
7
→
C
3
⊆ Aut
C
3
2
63
3
C3^2.C21
189,11
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⋊
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𝔽
○
≀
ℚ
◁