Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C31 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1984 |
Polycyclic presentation:
2^6,31|a^2=e,b^2=d,c^2=de,e^2=f,b^a=bd,g^c=g^30340 conjugacy classes — view the full character table.
| maximal subgroup of | #16844510, #16844514, #16844515, … |
| maximal normal subgroup of | #16844510, #16844514, #16844515, … |
| maximal quotient of | #16845572, #16845576, #16846265, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 673);