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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
7
and Q=
Dic
15
Direct product G=N×Q with N=
C
7
and Q=
Dic
15
d
ρ
Label
ID
C
7
×Dic
15
420
2
C7xDic15
420,10
Semidirect products G=N:Q with N=
C
7
and Q=
Dic
15
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊Dic
15
=
Dic
105
φ:
Dic
15
/
C
30
→
C
2
⊆ Aut
C
7
420
2-
C7:Dic15
420,11
×
⋊
ℤ
𝔽
○
≀
ℚ
◁