Finite Group DatabasebetaFinite Group Databasebeta| order | 19328 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #387×C151 ⋊ C2 |
| Sylow | C151 ⋊ C4×C22⋊Q8 |
656 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9664 |
Polycyclic presentation:
2^7,151|a^2=g,b^2=e,d^2=eg,b^a=be,c^a=cf,h^b=h^150,h^c=h^150,h^d=h^1502156 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19328, 7044);