Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | C2×D8×C281 ⋊ C2 |
| Sylow | C281 ⋊ #493 |
162 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8992 |
Polycyclic presentation:
2^6,281|b^2=df,c^2=e,d^2=f,b^a=bd,c^a=ce,d^a=df,g^c=g^2801982 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49097336, #49097337, #49097341, … |
| maximal normal subgroup of | #49097336, #49097337, #49097341, … |
| maximal quotient of | #49094892, #49094894, #49094896, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 924);