Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C2×M16×C31 ⋊ C2 |
| Sylow | C31 ⋊ #469 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 992 |
Polycyclic presentation:
2^6,31|b^2=df,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^30,c^b=cf316 conjugacy classes — view the full character table.
| maximal subgroup of | #16843695, #16843697, #16843701, … |
| maximal normal subgroup of | #16843695, #16843697, #16843701, … |
| maximal quotient of | #16845190, #16845195, #16845224, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 802);