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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
2
⋊
2
Q
8
Direct product G=N×Q with N=
C
2
and Q=
C
5
2
⋊
2
Q
8
d
ρ
Label
ID
C
2
×C
5
2
⋊
2
Q
8
80
C2xC5^2:2Q8
400,178
Non-split extensions G=N.Q with N=
C
2
and Q=
C
5
2
⋊
2
Q
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.
1
(C
5
2
⋊
2
Q
8
) =
Dic
5
⋊Dic
5
central extension (φ=1)
80
C2.1(C5^2:2Q8)
400,74
C
2
.
2
(C
5
2
⋊
2
Q
8
) =
C
10
.Dic
10
central extension (φ=1)
80
C2.2(C5^2:2Q8)
400,75
×
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ℤ
𝔽
○
≀
ℚ
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