Finite Group DatabasebetaFinite Group Databasebeta| order | 35456 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C277 ⋊ #1856 |
324 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 89 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 8864 |
Polycyclic presentation:
2^7,277|a^2=f,b^2=f,d^2=g,b^a=bd,c^a=ce,d^a=dg,d^b=dg,e^b=eg,h^b=h^276,d^c=dg3896 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35456, 4719);