Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #468×C73 ⋊ C2 |
| Sylow | C73 ⋊ #3183 |
370 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|b^2=g,c^2=f,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,c^b=cg,d^c=dg,h^d=h^72608 conjugacy classes — view the full character table.
| maximal subgroup of | #3183×D73, C2×#22620653, #33955958, … |
| maximal normal subgroup of | #3183×D73, C2×#22620653, #33955958, … |
| maximal quotient of | #33086584, #33090300, #33090311, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 15232);