Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C16×C73 ⋊ C8 |
| Sylow | C73 ⋊ #1368 |
68 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=d,b^2=c,c^2=e,d^2=f,e^2=g,b^a=bc,c^a=ce,e^a=eg,h^a=h^51,d^b=dg,h^d=h^46,h^f=h^72176 conjugacy classes — view the full character table.
| maximal subgroup of | #34033095, #34033097, #34033113, … |
| maximal normal subgroup of | #34033095, #34033097, #34033113, … |
| maximal quotient of | #34032798, #34032800, #34032895, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21571);