Finite Group DatabasebetaFinite Group Databasebeta| order | 37984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | M16×C1187 ⋊ C2 |
| Sylow | C1187 ⋊ #131 |
62 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18992 |
Polycyclic presentation:
2^5,1187|a^2=d,d^2=e,f^a=f^1186,c^b=ce,f^c=f^11865950 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37984, 154);