Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C31 ⋊ #416 |
158 conjugacy classes of subgroups.
| transitive degree | μt(G) = 992 |
Polycyclic presentation:
2^6,31|a^2=e,c^2=f,d^2=f,b^a=bd,d^a=df,g^a=g^30,d^b=df328 conjugacy classes — view the full character table.
| maximal subgroup of | #16845546, #16845549, #16845553, … |
| maximal normal subgroup of | #16845546, #16845549, #16845553, … |
| maximal quotient of | #16844093, #16844119, #16844145, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 545);