Finite Group DatabasebetaFinite Group Databasebeta| order | 19328 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | #368×C151 ⋊ C2 |
| Sylow | C151 ⋊ #2179 |
144 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4832 |
Polycyclic presentation:
2^7,151|a^2=e,c^2=e,d^2=fg,e^2=g,f^2=g,b^a=bd,c^a=cg,d^a=df,f^a=fg,d^b=df,f^b=fg,h^b=h^150,h^c=h^1501682 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19328, 6395);