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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
10
and Q=
C
30
Direct product G=N×Q with N=
C
10
and Q=
C
30
d
ρ
Label
ID
C
10
×C
30
300
C10xC30
300,49
Semidirect products G=N:Q with N=
C
10
and Q=
C
30
extension
φ:Q→Aut N
d
ρ
Label
ID
C
10
⋊C
30
=
D
5
×C
30
φ:
C
30
/
C
15
→
C
2
⊆ Aut
C
10
60
2
C10:C30
300,44
Non-split extensions G=N.Q with N=
C
10
and Q=
C
30
extension
φ:Q→Aut N
d
ρ
Label
ID
C
10
.C
30
=
C
15
×Dic
5
φ:
C
30
/
C
15
→
C
2
⊆ Aut
C
10
60
2
C10.C30
300,16
×
⋊
ℤ
𝔽
○
≀
ℚ
◁