Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | #127×C73 ⋊ C4 |
| Sylow | C73 ⋊ #1957 |
436 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 98 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,b^2=dfg,c^2=e,d^2=g,b^a=bd,c^a=ce,d^a=dg,h^a=h^46,h^b=h^27,h^f=h^72296 conjugacy classes — view the full character table.
| maximal subgroup of | #34001164, #34004496, #34004497, … |
| maximal normal subgroup of | #34001164, #34004496, #34004497, … |
| maximal quotient of | #34007579, #34007580, #34007581, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 20638);