Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C31 ⋊ #380 |
234 conjugacy classes of subgroups.
| transitive degree | μt(G) = 992 |
Polycyclic presentation:
2^6,31|a^2=f,b^2=d,b^a=bd,c^a=ce,g^a=g^30508 conjugacy classes — view the full character table.
| maximal subgroup of | #16843578, #16843579, #16843590, … |
| maximal normal subgroup of | #16843578, #16843579, #16843590, … |
| maximal quotient of | #16843934, #16843938, #16843941, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 409);