Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C31 ⋊ #323 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 496 |
Polycyclic presentation:
2^6,31|a^2=d,d^2=f,b^a=bc,c^a=ce,g^a=g^30,d^b=de322 conjugacy classes — view the full character table.
| maximal subgroup of | #16843638, #16843639, #16843640, … |
| maximal normal subgroup of | #16843638, #16843639, #16843640, … |
| maximal quotient of | #16843532, #16843537, #16843554, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 273);