Finite Group DatabasebetaFinite Group Databasebeta| order | 4832 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C22⋊C4×C151 ⋊ C2 |
| Sylow | C151 ⋊ #99 |
52 conjugacy classes of subgroups.
| minimal degree | μ(G) = 159 |
| transitive degree | μt(G) = 1208 |
Polycyclic presentation:
2^5,151|a^2=d,b^a=bc,c^a=ce,d^b=de,f^b=f^150761 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4832, 60);