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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
6
×Dic
3
and Q=
C
3
Direct product G=N×Q with N=
C
6
×Dic
3
and Q=
C
3
d
ρ
Label
ID
Dic
3
×C
3
×C
6
72
Dic3xC3xC6
216,138
Non-split extensions G=N.Q with N=
C
6
×Dic
3
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(C
6
×Dic
3
).C
3
=
Dic
3
×C
18
φ: trivial image
72
(C6xDic3).C3
216,56
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⋊
ℤ
𝔽
○
≀
ℚ
◁