Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C31 ⋊ #341 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 992 |
Polycyclic presentation:
2^6,31|a^2=d,b^2=e,c^2=f,d^2=f,e^2=f,b^a=bc,c^a=cf,e^a=ef,g^a=g^30508 conjugacy classes — view the full character table.
| maximal subgroup of | #16843726, #16843727, #16843729, … |
| maximal normal subgroup of | #16843726, #16843727, #16843729, … |
| maximal quotient of | #16843546, #16843548, #16843573, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 314);