Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C31 ⋊ #342 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 496 |
Polycyclic presentation:
2^6,31|a^2=d,b^2=e,b^a=bc,c^a=cf,g^a=g^30,d^b=df322 conjugacy classes — view the full character table.
| maximal subgroup of | #16843708, #16843709, #16843711, … |
| maximal normal subgroup of | #16843708, #16843709, #16843711, … |
| maximal quotient of | #16843554, #16843558, #16843564, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 316);