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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=
Q
8
×3
-
 1+2
Direct product G=N×Q with N=
C
2
and Q=
Q
8
×3
-
 1+2
d
ρ
Label
ID
C
2
×Q
8
×3
-
 1+2
144
C2xQ8xES-(3,1)
432,408
Non-split extensions G=N.Q with N=
C
2
and Q=
Q
8
×3
-
 1+2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.(Q
8
×3
-
 1+2
) =
C
4
⋊C
4
×3
-
 1+2
central extension (φ=1)
144
C2.(Q8xES-(3,1))
432,208
×
⋊
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𝔽
○
≀
ℚ
◁