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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
2
×C
10
and Q=
C
21
Direct product G=N×Q with N=
C
2
×C
10
and Q=
C
21
d
ρ
Label
ID
C
2
×C
210
420
C2xC210
420,41
Semidirect products G=N:Q with N=
C
2
×C
10
and Q=
C
21
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
2
×C
10
)⋊C
21
=
A
4
×C
35
φ:
C
21
/
C
7
→
C
3
⊆ Aut
C
2
×C
10
140
3
(C2xC10):C21
420,32
×
⋊
ℤ
𝔽
○
≀
ℚ
◁