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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
⋊A
4
and Q=
C
5
Direct product G=N×Q with N=
C
2
2
⋊A
4
and Q=
C
5
d
ρ
Label
ID
C
5
×C
2
2
⋊A
4
60
C5xC2^2:A4
240,204
Semidirect products G=N:Q with N=
C
2
2
⋊A
4
and Q=
C
5
extension
φ:Q→Out N
d
ρ
Label
ID
C
2
2
⋊A
4
⋊C
5
=
F
16
φ:
C
5
/
C
1
→
C
5
⊆ Out
C
2
2
⋊A
4
16
15+
C2^2:A4:C5
240,191
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⋊
ℤ
𝔽
○
≀
ℚ
◁