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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
42
Direct product G=N×Q with N=
C
10
and Q=
C
42
d
ρ
Label
ID
C
2
×C
210
420
C2xC210
420,41
Semidirect products G=N:Q with N=
C
10
and Q=
C
42
extension
φ:Q→Aut N
d
ρ
Label
ID
C
10
⋊C
42
=
D
5
×C
42
φ:
C
42
/
C
21
→
C
2
⊆ Aut
C
10
210
2
C10:C42
420,35
Non-split extensions G=N.Q with N=
C
10
and Q=
C
42
extension
φ:Q→Aut N
d
ρ
Label
ID
C
10
.C
42
=
Dic
5
×C
21
φ:
C
42
/
C
21
→
C
2
⊆ Aut
C
10
420
2
C10.C42
420,6
×
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ℤ
𝔽
○
≀
ℚ
◁