Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C73 ⋊ C2×C22⋊C16 |
272 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 89 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=e,e^2=f,f^2=g,b^a=bd,h^a=h^10,h^c=h^72,h^e=h^27,h^f=h^72224 conjugacy classes — view the full character table.
| maximal subgroup of | #34032938, #34032944, #34032968, … |
| maximal normal subgroup of | #34032938, #34032944, #34032968, … |
| maximal quotient of | #34033521, #34033563, #34033599, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21675);