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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
3
and Q=
D
45
Direct product G=N×Q with N=
C
3
and Q=
D
45
d
ρ
Label
ID
C
3
×D
45
90
2
C3xD45
270,12
Semidirect products G=N:Q with N=
C
3
and Q=
D
45
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊D
45
=
C
3
⋊D
45
φ:
D
45
/
C
45
→
C
2
⊆ Aut
C
3
135
C3:D45
270,18
Non-split extensions G=N.Q with N=
C
3
and Q=
D
45
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
.D
45
=
D
135
φ:
D
45
/
C
45
→
C
2
⊆ Aut
C
3
135
2+
C3.D45
270,3
×
⋊
ℤ
𝔽
○
≀
ℚ
◁