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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
4
and Q=
C
3
.A
4
Direct product G=N×Q with N=
D
4
and Q=
C
3
.A
4
d
ρ
Label
ID
D
4
×C
3
.A
4
36
6
D4xC3.A4
288,344
Non-split extensions G=N.Q with N=
D
4
and Q=
C
3
.A
4
extension
φ:Q→Out N
d
ρ
Label
ID
D
4
.(C
3
.A
4
) =
2
-
 1+4
⋊C
9
φ: trivial image
144
4
D4.(C3.A4)
288,349
×
⋊
ℤ
𝔽
○
≀
ℚ
◁