Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | #449×C73 ⋊ C2 |
| Sylow | C73 ⋊ #3010 |
732 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|b^2=g,e^2=g,b^a=be,c^a=cf,e^a=eg,e^b=eg,d^c=dg,h^c=h^72,h^d=h^72716 conjugacy classes — view the full character table.
| maximal subgroup of | #3010×D73, C2×#22619214, #33952447, … |
| maximal normal subgroup of | #3010×D73, C2×#22619214, #33952447, … |
| maximal quotient of | #33059163, #33059165, #33059251, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 13793);