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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
6
.
5
S
4
Direct product G=N×Q with N=
C
2
and Q=
C
6
.
5
S
4
d
ρ
Label
ID
C
2
×C
6
.
5
S
4
96
C2xC6.5S4
288,910
Non-split extensions G=N.Q with N=
C
2
and Q=
C
6
.
5
S
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.(C
6
.
5
S
4
) =
C
6
.GL
2
(𝔽
3
)
central extension (φ=1)
96
C2.(C6.5S4)
288,403
×
⋊
ℤ
𝔽
○
≀
ℚ
◁