Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C2×C4⋊C4×C263 ⋊ C2 |
| Sylow | C263 ⋊ #539 |
218 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 95 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=f,c^2=e,b^a=be,c^a=cf,d^a=de,g^a=g^262,c^b=ce2642 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46781674, #46781678, #46781708, … |
| maximal normal subgroup of | #46781674, #46781678, #46781708, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 1146);