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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
⋊
5
Q
16
Direct product G=N×Q with N=
C
2
and Q=
C
3
2
⋊
5
Q
16
d
ρ
Label
ID
C
2
×C
3
2
⋊
5
Q
16
288
C2xC3^2:5Q16
288,762
Non-split extensions G=N.Q with N=
C
2
and Q=
C
3
2
⋊
5
Q
16
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.
1
(C
3
2
⋊
5
Q
16
) =
C
6
.
4
Dic
12
central extension (φ=1)
288
C2.1(C3^2:5Q16)
288,291
C
2
.
2
(C
3
2
⋊
5
Q
16
) =
C
24
⋊
1
Dic
3
central extension (φ=1)
288
C2.2(C3^2:5Q16)
288,293
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⋊
ℤ
𝔽
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≀
ℚ
◁