Finite Group DatabasebetaFinite Group Databasebeta| order | 37984 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C23 |
| unambiguous semidirect product | C1187⋊#95 |
| Sylow | C1187 ⋊ #95 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 37984 |
Polycyclic presentation:
2^5,1187|a^2=d,b^2=e,b^a=bc,f^b=f^11869508 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37984, 53);