Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C281 ⋊ #428 |
118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8992 |
Polycyclic presentation:
2^6,281|a^2=e,b^2=d,d^2=f,b^a=bd,d^a=df,g^a=g^280,c^b=cf2822 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49095514, #49095515, #49095519, … |
| maximal normal subgroup of | #49095514, #49095515, #49095519, … |
| maximal quotient of | #49094055, #49094070, #49094088, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 591);