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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
4
×F
8
Direct product G=N×Q with N=
C
2
and Q=
C
4
×F
8
d
ρ
Label
ID
C
2
×C
4
×F
8
56
C2xC4xF8
448,1362
Non-split extensions G=N.Q with N=
C
2
and Q=
C
4
×F
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.(C
4
×F
8
) =
C
8
×F
8
central extension (φ=1)
56
7
C2.(C4xF8)
448,919
×
⋊
ℤ
𝔽
○
≀
ℚ
◁