Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #416×C73 ⋊ C2 |
| Sylow | C73 ⋊ #3309 |
404 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=e,c^2=g,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,c^b=cg,d^b=de,h^b=h^72,f^c=fg1037 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #3309×D73, C2×#22621933, #33962749, … |
| maximal normal subgroup of | #3309×D73, C2×#22621933, #33962749, … |
| maximal quotient of | #33101505, #33102373, #33103114, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 16512);