Finite Group DatabasebetaFinite Group Databasebeta| order | 36928 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C2 |
| unambiguous semidirect product | C4⋊#22604432 |
| Fitting | C4×C577 ⋊ C16 |
| Sylow | C577 ⋊ C4⋊C16 |
50 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2308 |
Polycyclic presentation:
2^6,577|a^2=d,b^2=c,d^2=e,e^2=f,b^a=bc,g^a=g^171,g^d=g^391,g^e=g^553,g^f=g^576184 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36928, 1676);