Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C281 ⋊ #383 |
138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17984 |
Polycyclic presentation:
2^6,281|a^2=f,b^2=de,c^2=d,b^a=bd,c^a=ce,g^a=g^2804508 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49093168, #49093169, #49093850, … |
| maximal normal subgroup of | #49093168, #49093169, #49093850, … |
| maximal quotient of | #49093530, #49093565, #49095446, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 417);