Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C2×M16×C31 ⋊ C2 |
| Sylow | C31 ⋊ #408 |
158 conjugacy classes of subgroups.
| transitive degree | μt(G) = 992 |
Polycyclic presentation:
2^6,31|a^2=e,e^2=f,b^a=bd,g^a=g^30,c^b=cf,g^b=g^30328 conjugacy classes — view the full character table.
| maximal subgroup of | #16843648, #16845660, #16845673, … |
| maximal normal subgroup of | #16843648, #16845660, #16845673, … |
| maximal quotient of | #16844060, #16844064, #16844068, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 517);