Finite Group DatabasebetaFinite Group Databasebeta| order | 19328 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24×C4 |
| unambiguous semidirect product | Dic151⋊#95 |
| Sylow | C151 ⋊ C4⋊#95 |
656 conjugacy classes of subgroups.
| transitive degree | μt(G) = 19328 |
Polycyclic presentation:
2^7,151|a^2=f,b^2=g,c^2=e,b^a=bd,c^a=ce,h^c=h^1503056 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19328, 2738);