Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C263 ⋊ #421 |
154 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 67 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 4208 |
Polycyclic presentation:
2^6,263|a^2=e,d^2=f,e^2=f,b^a=bd,d^a=df,g^a=g^262,c^b=cf,d^b=df2642 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46782711, #46782712, #46782716, … |
| maximal normal subgroup of | #46782711, #46782712, #46782716, … |
| maximal quotient of | #46781134, #46781138, #46781142, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 566);