Finite Group DatabasebetaFinite Group Databasebeta| order | 35968 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #342×C281 ⋊ C2 |
| Sylow | C281 ⋊ #1819 |
504 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 81 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 4496 |
Polycyclic presentation:
2^7,281|a^2=f,c^2=d,b^a=bd,c^a=ce,e^a=eg,h^b=h^280,f^c=fg3112 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35968, 4583);