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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
3
×C
8
and Q=
C
7
Direct product G=N×Q with N=
C
2
3
×C
8
and Q=
C
7
d
ρ
Label
ID
C
2
3
×C
56
448
C2^3xC56
448,1348
Semidirect products G=N:Q with N=
C
2
3
×C
8
and Q=
C
7
extension
φ:Q→Aut N
d
ρ
Label
ID
(C
2
3
×C
8
)⋊C
7
=
C
8
×F
8
φ:
C
7
/
C
1
→
C
7
⊆ Aut
C
2
3
×C
8
56
7
(C2^3xC8):C7
448,919
×
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𝔽
○
≀
ℚ
◁