Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C281 ⋊ #336 |
118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17984 |
Polycyclic presentation:
2^6,281|a^2=d,b^2=e,d^2=f,b^a=bc,g^a=g^2804520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49093123, #49093124, #49093125, … |
| maximal normal subgroup of | #49093123, #49093124, #49093125, … |
| maximal quotient of | #49093130, #49093132, #49093134, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 304);