Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C281 ⋊ #460 |
128 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8992 |
Polycyclic presentation:
2^6,281|b^2=d,c^2=f,e^2=f,b^a=bd,c^a=ce,e^a=ef,e^c=ef,g^c=g^2801979 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49094360, #49094361, #49094365, … |
| maximal normal subgroup of | #49094360, #49094361, #49094365, … |
| maximal quotient of | #49094648, #49094660, #49094670, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 746);