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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
3
⋊Q
8
Direct product G=N×Q with N=
C
2
and Q=
C
3
3
⋊Q
8
d
ρ
Label
ID
C
2
×C
3
3
⋊Q
8
48
8
C2xC3^3:Q8
432,758
Non-split extensions G=N.Q with N=
C
2
and Q=
C
3
3
⋊Q
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.
1
(C
3
3
⋊Q
8
) =
C
6
.PSU
3
(𝔽
2
)
central extension (φ=1)
48
8
C2.1(C3^3:Q8)
432,592
C
2
.
2
(C
3
3
⋊Q
8
) =
C
6
.
2
PSU
3
(𝔽
2
)
central extension (φ=1)
48
8
C2.2(C3^3:Q8)
432,593
×
⋊
ℤ
𝔽
○
≀
ℚ
◁