Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C263 ⋊ #464 |
112 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 112 conjugacy classes of subgroups — too many to draw. Only its 41 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 8416 |
Polycyclic presentation:
2^6,263|b^2=df,c^2=f,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^b=g^262,e^c=ef1853 conjugacy classes. The character table is too large to display.
| maximal quotient of | #46782161, #46782175, #46782189, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 769);