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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
30
Direct product G=N×Q with N=
C
4
and Q=
C
30
d
ρ
Label
ID
C
2
×C
60
120
C2xC60
120,31
Semidirect products G=N:Q with N=
C
4
and Q=
C
30
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
⋊C
30
=
D
4
×C
15
φ:
C
30
/
C
15
→
C
2
⊆ Aut
C
4
60
2
C4:C30
120,32
Non-split extensions G=N.Q with N=
C
4
and Q=
C
30
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
.C
30
=
Q
8
×C
15
φ:
C
30
/
C
15
→
C
2
⊆ Aut
C
4
120
2
C4.C30
120,33
×
⋊
ℤ
𝔽
○
≀
ℚ
◁