Finite Group DatabasebetaFinite Group Databasebeta| order | 28736 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C23 |
| unambiguous semidirect product | (C2×#16813320)⋊C4 |
| Fitting | C2×C4×C449 ⋊ C8 |
| Sylow | C449 ⋊ #336 |
118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3592 |
Polycyclic presentation:
2^6,449|a^2=d,b^2=e,d^2=f,b^a=bc,g^a=g^122,g^d=g^67,g^f=g^448488 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(28736, 1640);