Finite Group DatabasebetaFinite Group Databasebeta| order | 19072 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | #533×C149 ⋊ C2 |
| Sylow | C149 ⋊ #3458 |
996 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4768 |
Polycyclic presentation:
2^7,149|a^2=g,c^2=g,e^2=f,b^a=bf,c^a=cg,d^a=df,c^b=cf,h^d=h^1482116 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19072, 17913);