Finite Group DatabasebetaFinite Group Databasebeta| order | 36544 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C571 ⋊ #380 |
234 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18272 |
Polycyclic presentation:
2^6,571|a^2=f,b^2=d,b^a=bd,c^a=ce,g^a=g^5709148 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36544, 409);