Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C31×C22⋊C8 ⋊ C2 |
| Sylow | C31 ⋊ #480 |
114 conjugacy classes of subgroups.
| transitive degree | μt(G) = 992 |
Polycyclic presentation:
2^6,31|c^2=d,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^30,e^c=ef,g^c=g^30319 conjugacy classes — view the full character table.
| maximal subgroup of | #16844698, #16844699, #16844710, … |
| maximal normal subgroup of | #16844698, #16844699, #16844710, … |
| maximal quotient of | #16845798, #16845901, #16846026, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 863);