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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
4
and Q=
C
22
Direct product G=N×Q with N=
C
4
and Q=
C
22
d
ρ
Label
ID
C
2
×C
44
88
C2xC44
88,8
Semidirect products G=N:Q with N=
C
4
and Q=
C
22
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
⋊C
22
=
D
4
×C
11
φ:
C
22
/
C
11
→
C
2
⊆ Aut
C
4
44
2
C4:C22
88,9
Non-split extensions G=N.Q with N=
C
4
and Q=
C
22
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
.C
22
=
Q
8
×C
11
φ:
C
22
/
C
11
→
C
2
⊆ Aut
C
4
88
2
C4.C22
88,10
×
⋊
ℤ
𝔽
○
≀
ℚ
◁