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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
3
×D
5
and Q=
A
4
Direct product G=N×Q with N=
C
3
×D
5
and Q=
A
4
d
ρ
Label
ID
C
3
×D
5
×A
4
60
6
C3xD5xA4
360,142
Non-split extensions G=N.Q with N=
C
3
×D
5
and Q=
A
4
extension
φ:Q→Out N
d
ρ
Label
ID
(C
3
×D
5
).A
4
=
D
5
×C
3
.A
4
φ: trivial image
90
6
(C3xD5).A4
360,42
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≀
ℚ
◁