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About
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
2
Direct product G=N×Q with N=
C
21
and Q=
C
2
d
ρ
Label
ID
C
42
42
1
C42
42,6
Semidirect products G=N:Q with N=
C
21
and Q=
C
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
21
⋊
1
C
2
=
D
21
φ:
C
2
/
C
1
→
C
2
⊆ Aut
C
21
21
2+
C21:1C2
42,5
C
21
⋊
2
C
2
=
C
3
×D
7
φ:
C
2
/
C
1
→
C
2
⊆ Aut
C
21
21
2
C21:2C2
42,4
C
21
⋊
3
C
2
=
S
3
×C
7
φ:
C
2
/
C
1
→
C
2
⊆ Aut
C
21
21
2
C21:3C2
42,3
×
⋊
ℤ
𝔽
○
≀
ℚ
◁