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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
and Q=
Q
8
⋊A
4
Direct product G=N×Q with N=
C
3
and Q=
Q
8
⋊A
4
d
ρ
Label
ID
C
3
×Q
8
⋊A
4
72
6
C3xQ8:A4
288,986
Non-split extensions G=N.Q with N=
C
3
and Q=
Q
8
⋊A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
.(Q
8
⋊A
4
) =
C
2
2
⋊(Q
8
⋊C
9
)
central extension (φ=1)
72
6
C3.(Q8:A4)
288,350
×
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𝔽
○
≀
ℚ
◁