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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
32
Direct product G=N×Q with N=
C
2
and Q=
C
5
×Q
32
d
ρ
Label
ID
C
10
×Q
32
320
C10xQ32
320,1008
Non-split extensions G=N.Q with N=
C
2
and Q=
C
5
×Q
32
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.
1
(C
5
×Q
32
) =
C
5
×C
2
.Q
32
central extension (φ=1)
320
C2.1(C5xQ32)
320,163
C
2
.
2
(C
5
×Q
32
) =
C
5
×C
16
⋊
3
C
4
central extension (φ=1)
320
C2.2(C5xQ32)
320,171
×
⋊
ℤ
𝔽
○
≀
ℚ
◁