Finite Group DatabasebetaFinite Group Databasebeta| order | 19328 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C151 ⋊ #2329 |
528 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9664 |
Polycyclic presentation:
2^7,151|a^2=g,b^2=fg,c^2=f,b^a=be,c^a=cf,d^a=de,c^b=ce,h^b=h^150,h^c=h^1502144 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19328, 7241);