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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
4
Direct product G=N×Q with N=
C
21
and Q=
C
4
d
ρ
Label
ID
C
84
84
1
C84
84,6
Semidirect products G=N:Q with N=
C
21
and Q=
C
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
21
⋊
1
C
4
=
Dic
21
φ:
C
4
/
C
2
→
C
2
⊆ Aut
C
21
84
2-
C21:1C4
84,5
C
21
⋊
2
C
4
=
C
3
×Dic
7
φ:
C
4
/
C
2
→
C
2
⊆ Aut
C
21
84
2
C21:2C4
84,4
C
21
⋊
3
C
4
=
C
7
×Dic
3
φ:
C
4
/
C
2
→
C
2
⊆ Aut
C
21
84
2
C21:3C4
84,3
×
⋊
ℤ
𝔽
○
≀
ℚ
◁