Finite Group DatabasebetaFinite Group Databasebeta| order | 34432 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C22×#22575418 |
| Sylow | C269 ⋊ C22×C4×Q8 |
1664 conjugacy classes of subgroups; only the 941 normal subgroups are shown.
This group has 1664 conjugacy classes of subgroups — too many to draw. Only its 941 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 34432 |
5440 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34432, 17684);