Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #449×C73 ⋊ C2 |
| Sylow | C73 ⋊ #3319 |
414 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=eg,b^2=g,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^72,c^b=cg,d^b=de,h^b=h^72,f^c=fg713 conjugacy classes — view the full character table.
| maximal subgroup of | #3319×D73, C2×#22622091, #33962744, … |
| maximal normal subgroup of | #3319×D73, C2×#22622091, #33962744, … |
| maximal quotient of | #33101543, #33102285, #33103061, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 16670);