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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
4
×C
20
Direct product G=N×Q with N=
C
2
and Q=
C
4
×C
20
d
ρ
Label
ID
C
2
×C
4
×C
20
160
C2xC4xC20
160,175
Non-split extensions G=N.Q with N=
C
2
and Q=
C
4
×C
20
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.
1
(C
4
×C
20
) =
C
5
×C
2
.C
4
2
central stem extension (φ=1)
160
C2.1(C4xC20)
160,45
C
2
.
2
(C
4
×C
20
) =
C
5
×C
8
⋊C
4
central stem extension (φ=1)
160
C2.2(C4xC20)
160,47
×
⋊
ℤ
𝔽
○
≀
ℚ
◁