Finite Group DatabasebetaFinite Group Databasebeta| order | 19328 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | #413×C151 ⋊ C2 |
| Sylow | C151 ⋊ #2889 |
704 conjugacy classes of subgroups; only the 209 normal subgroups are shown.
This group has 704 conjugacy classes of subgroups — too many to draw. Only its 209 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 4832 |
Polycyclic presentation:
2^7,151|a^2=f,b^2=g,f^2=g,b^a=be,e^a=eg,f^b=fg,d^c=dg,h^c=h^150,h^d=h^1501691 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19328, 12991);