Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C281 ⋊ #533 |
222 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8992 |
Polycyclic presentation:
2^6,281|a^2=f,c^2=f,d^2=e,b^a=be,c^a=cf,g^a=g^2804508 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49093705, #49093707, #49093723, … |
| maximal normal subgroup of | #49093705, #49093707, #49093723, … |
| maximal quotient of | #49097710, #49097780, #49097786, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 1106);