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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
C
3
×D
4
×A
4
36
6
C3xD4xA4
288,980
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
) =
C
3
×D
4
.A
4
φ: trivial image
48
4
D4.(C3xA4)
288,985
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○
≀
ℚ
◁