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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
×Dic
3
and Q=
A
4
Direct product G=N×Q with N=
C
2
×Dic
3
and Q=
A
4
d
ρ
Label
ID
C
2
×Dic
3
×A
4
72
C2xDic3xA4
288,927
Non-split extensions G=N.Q with N=
C
2
×Dic
3
and Q=
A
4
extension
φ:Q→Out N
d
ρ
Label
ID
(C
2
×Dic
3
).
1
A
4
=
Dic
3
×SL
2
(𝔽
3
)
φ: trivial image
96
(C2xDic3).1A4
288,409
(C
2
×Dic
3
).
2
A
4
=
C
2
×Dic
3
.A
4
φ: trivial image
96
(C2xDic3).2A4
288,921
×
⋊
ℤ
𝔽
○
≀
ℚ
◁