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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=
Q
8
×C
25
Direct product G=N×Q with N=
C
2
and Q=
Q
8
×C
25
d
ρ
Label
ID
Q
8
×C
50
400
Q8xC50
400,47
Non-split extensions G=N.Q with N=
C
2
and Q=
Q
8
×C
25
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.(Q
8
×C
25
) =
C
4
⋊C
4
×C
25
central extension (φ=1)
400
C2.(Q8xC25)
400,22
×
⋊
ℤ
𝔽
○
≀
ℚ
◁