Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #485×C73 ⋊ C2 |
| Sylow | C73 ⋊ #3197 |
418 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|d^2=g,f^2=g,b^a=be,c^a=cf,d^a=de,f^a=fg,h^a=h^72,c^b=ceg,h^b=h^72,f^c=fg,h^c=h^72710 conjugacy classes — view the full character table.
| maximal subgroup of | #3197×D73, C2×#22620775, #33956625, … |
| maximal normal subgroup of | #3197×D73, C2×#22620775, #33956625, … |
| maximal quotient of | #33095049, #33095050, #33096268, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 15354);