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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
⋊
4
Q
8
Direct product G=N×Q with N=
C
2
and Q=
C
5
2
⋊
4
Q
8
d
ρ
Label
ID
C
2
×C
5
2
⋊
4
Q
8
400
C2xC5^2:4Q8
400,191
Non-split extensions G=N.Q with N=
C
2
and Q=
C
5
2
⋊
4
Q
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.
1
(C
5
2
⋊
4
Q
8
) =
C
10
2
.
22
C
2
2
central extension (φ=1)
400
C2.1(C5^2:4Q8)
400,100
C
2
.
2
(C
5
2
⋊
4
Q
8
) =
C
20
⋊
3
Dic
5
central extension (φ=1)
400
C2.2(C5^2:4Q8)
400,101
×
⋊
ℤ
𝔽
○
≀
ℚ
◁