Finite Group DatabasebetaFinite Group Databasebeta| order | 19328 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #452×C151 ⋊ C2 |
| Sylow | C151 ⋊ #3190 |
420 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4832 |
Polycyclic presentation:
2^7,151|b^2=g,c^2=g,f^2=g,b^a=be,c^a=cf,d^a=de,f^a=fg,c^b=ce,h^b=h^150,f^c=fg,h^d=h^1501457 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19328, 15289);