Finite Group DatabasebetaFinite Group Databasebeta| order | 34432 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C22×#22575480 |
| Fitting | C22×SD16×C269 ⋊ C2 |
| Sylow | C269 ⋊ C22×AGL(1,ℤ/8) |
1720 conjugacy classes of subgroups; only the 525 normal subgroups are shown.
This group has 1720 conjugacy classes of subgroups — too many to draw. Only its 525 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 8608 |
3796 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34432, 19244);