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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
15
Direct product G=N×Q with N=
C
21
and Q=
C
15
d
ρ
Label
ID
C
3
×C
105
315
C3xC105
315,4
Semidirect products G=N:Q with N=
C
21
and Q=
C
15
extension
φ:Q→Aut N
d
ρ
Label
ID
C
21
⋊C
15
=
C
15
×C
7
⋊C
3
φ:
C
15
/
C
5
→
C
3
⊆ Aut
C
21
105
3
C21:C15
315,3
Non-split extensions G=N.Q with N=
C
21
and Q=
C
15
extension
φ:Q→Aut N
d
ρ
Label
ID
C
21
.C
15
=
C
5
×C
7
⋊C
9
φ:
C
15
/
C
5
→
C
3
⊆ Aut
C
21
315
3
C21.C15
315,1
×
⋊
ℤ
𝔽
○
≀
ℚ
◁