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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
⋊C
4
and Q=
C
3
Direct product G=N×Q with N=
C
3
×D
4
⋊C
4
and Q=
C
3
d
ρ
Label
ID
C
3
2
×D
4
⋊C
4
144
C3^2xD4:C4
288,320
Non-split extensions G=N.Q with N=
C
3
×D
4
⋊C
4
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(C
3
×D
4
⋊C
4
).C
3
=
C
9
×D
4
⋊C
4
φ: trivial image
144
(C3xD4:C4).C3
288,52
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ℤ
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○
≀
ℚ
◁