Finite Group DatabasebetaFinite Group Databasebeta| order | 4768 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
| unambiguous semidirect product | C4⋊#11924753 |
| Sylow | C149 ⋊ C4⋊C8 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4768 |
Polycyclic presentation:
2^5,149|a^2=d,b^2=c,d^2=e,b^a=bc,f^a=f^105,f^d=f^148316 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4768, 212);