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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
4
and Q=
C
15
Direct product G=N×Q with N=
C
3
×D
4
and Q=
C
15
d
ρ
Label
ID
D
4
×C
3
×C
15
180
D4xC3xC15
360,116
Non-split extensions G=N.Q with N=
C
3
×D
4
and Q=
C
15
extension
φ:Q→Out N
d
ρ
Label
ID
(C
3
×D
4
).C
15
=
D
4
×C
45
φ: trivial image
180
2
(C3xD4).C15
360,31
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⋊
ℤ
𝔽
○
≀
ℚ
◁