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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
34
Direct product G=N×Q with N=
C
10
and Q=
C
34
d
ρ
Label
ID
C
2
×C
170
340
C2xC170
340,15
Semidirect products G=N:Q with N=
C
10
and Q=
C
34
extension
φ:Q→Aut N
d
ρ
Label
ID
C
10
⋊C
34
=
D
5
×C
34
φ:
C
34
/
C
17
→
C
2
⊆ Aut
C
10
170
2
C10:C34
340,13
Non-split extensions G=N.Q with N=
C
10
and Q=
C
34
extension
φ:Q→Aut N
d
ρ
Label
ID
C
10
.C
34
=
C
17
×Dic
5
φ:
C
34
/
C
17
→
C
2
⊆ Aut
C
10
340
2
C10.C34
340,1
×
⋊
ℤ
𝔽
○
≀
ℚ
◁