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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
2
and Q=
C
2
4
⋊C
5
Direct product G=N×Q with N=
C
2
2
and Q=
C
2
4
⋊C
5
d
ρ
Label
ID
C
2
2
×C
2
4
⋊C
5
20
C2^2xC2^4:C5
320,1637
Non-split extensions G=N.Q with N=
C
2
2
and Q=
C
2
4
⋊C
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
.
1
(C
2
4
⋊C
5
) =
C
2
×2
-
1+4
⋊C
5
central extension (φ=1)
64
C2^2.1(C2^4:C5)
320,1585
C
2
2
.
2
(C
2
4
⋊C
5
) =
C
2
2
.
58
C
2
4
⋊C
5
central stem extension (φ=1)
64
C2^2.2(C2^4:C5)
320,1012
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