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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=
D
5
and Q=
C
2
×A
4
Direct product G=N×Q with N=
D
5
and Q=
C
2
×A
4
d
ρ
Label
ID
C
2
×D
5
×A
4
30
6+
C2xD5xA4
240,198
Non-split extensions G=N.Q with N=
D
5
and Q=
C
2
×A
4
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.(C
2
×A
4
) =
A
4
×F
5
φ:
C
2
×A
4
/
A
4
→
C
2
⊆ Out
D
5
20
12+
D5.(C2xA4)
240,193
×
⋊
ℤ
𝔽
○
≀
ℚ
◁