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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
and Q=
C
3
2
×Q
16
Direct product G=N×Q with N=
C
2
and Q=
C
3
2
×Q
16
d
ρ
Label
ID
Q
16
×C
3
×C
6
288
Q16xC3xC6
288,831
Non-split extensions G=N.Q with N=
C
2
and Q=
C
3
2
×Q
16
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.
1
(C
3
2
×Q
16
) =
C
3
2
×Q
8
⋊C
4
central extension (φ=1)
288
C2.1(C3^2xQ16)
288,321
C
2
.
2
(C
3
2
×Q
16
) =
C
3
2
×C
2
.D
8
central extension (φ=1)
288
C2.2(C3^2xQ16)
288,325
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𝔽
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ℚ
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