Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | #568×C73 ⋊ C2 |
| Sylow | C73 ⋊ #2888 |
756 conjugacy classes of subgroups; only the 249 normal subgroups are shown.
This group has 756 conjugacy classes of subgroups — too many to draw. Only its 249 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^7,73|a^2=f,f^2=g,b^a=be,e^a=eg,f^b=fg,h^b=h^72,d^c=dg1265 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #33095143, #33095145, #33095149, … |
| maximal normal subgroup of | #33095143, #33095145, #33095149, … |
| maximal quotient of | #33051800, #33051815, #33051887, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 12988);