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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
6
and Q=
C
70
Direct product G=N×Q with N=
C
6
and Q=
C
70
d
ρ
Label
ID
C
2
×C
210
420
C2xC210
420,41
Semidirect products G=N:Q with N=
C
6
and Q=
C
70
extension
φ:Q→Aut N
d
ρ
Label
ID
C
6
⋊C
70
=
S
3
×C
70
φ:
C
70
/
C
35
→
C
2
⊆ Aut
C
6
210
2
C6:C70
420,37
Non-split extensions G=N.Q with N=
C
6
and Q=
C
70
extension
φ:Q→Aut N
d
ρ
Label
ID
C
6
.C
70
=
Dic
3
×C
35
φ:
C
70
/
C
35
→
C
2
⊆ Aut
C
6
420
2
C6.C70
420,8
×
⋊
ℤ
𝔽
○
≀
ℚ
◁