Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C31×#97 ⋊ C2 |
| Sylow | C31 ⋊ #329 |
70 conjugacy classes of subgroups.
| transitive degree | μt(G) = 992 |
Polycyclic presentation:
2^6,31|a^2=d,c^2=f,d^2=e,b^a=bc,c^a=ce,c^b=cf,d^b=def,g^b=g^30319 conjugacy classes — view the full character table.
| maximal subgroup of | D31×#329, C2×#14520788, #16844297, … |
| maximal normal subgroup of | D31×#329, C2×#14520788, #16844297, … |
| maximal quotient of | #16843531, #16843536, #16843593, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 288);