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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
10
×C
7
⋊C
3
Direct product G=N×Q with N=
C
2
and Q=
C
10
×C
7
⋊C
3
d
ρ
Label
ID
C
2
×C
10
×C
7
⋊C
3
140
C2xC10xC7:C3
420,31
Non-split extensions G=N.Q with N=
C
2
and Q=
C
10
×C
7
⋊C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.(C
10
×C
7
⋊C
3
) =
C
20
×C
7
⋊C
3
central extension (φ=1)
140
3
C2.(C10xC7:C3)
420,4
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𝔽
○
≀
ℚ
◁