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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
34
and Q=
C
10
Direct product G=N×Q with N=
C
34
and Q=
C
10
d
ρ
Label
ID
C
2
×C
170
340
C2xC170
340,15
Semidirect products G=N:Q with N=
C
34
and Q=
C
10
extension
φ:Q→Aut N
d
ρ
Label
ID
C
34
⋊C
10
=
C
10
×D
17
φ:
C
10
/
C
5
→
C
2
⊆ Aut
C
34
170
2
C34:C10
340,12
Non-split extensions G=N.Q with N=
C
34
and Q=
C
10
extension
φ:Q→Aut N
d
ρ
Label
ID
C
34
.C
10
=
C
5
×Dic
17
φ:
C
10
/
C
5
→
C
2
⊆ Aut
C
34
340
2
C34.C10
340,2
×
⋊
ℤ
𝔽
○
≀
ℚ
◁