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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
×Q
16
Direct product G=N×Q with N=
C
2
and Q=
C
5
×Q
16
d
ρ
Label
ID
C
10
×Q
16
160
C10xQ16
160,195
Non-split extensions G=N.Q with N=
C
2
and Q=
C
5
×Q
16
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.
1
(C
5
×Q
16
) =
C
5
×Q
8
⋊C
4
central extension (φ=1)
160
C2.1(C5xQ16)
160,53
C
2
.
2
(C
5
×Q
16
) =
C
5
×C
2
.D
8
central extension (φ=1)
160
C2.2(C5xQ16)
160,57
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𝔽
○
≀
ℚ
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