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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
2
and Q=
C
5
×D
21
Direct product G=N×Q with N=
C
2
and Q=
C
5
×D
21
d
ρ
Label
ID
C
10
×D
21
210
2
C10xD21
420,38
Non-split extensions G=N.Q with N=
C
2
and Q=
C
5
×D
21
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.(C
5
×D
21
) =
C
5
×Dic
21
central extension (φ=1)
420
2
C2.(C5xD21)
420,9
×
⋊
ℤ
𝔽
○
≀
ℚ
◁