Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C281 ⋊ #339 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4496 |
Polycyclic presentation:
2^6,281|a^2=d,b^2=e,c^2=f,b^a=bc,c^a=cf,e^a=ef,g^a=g^2804508 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #339×D281, C2×#31823223, #49095011, … |
| maximal normal subgroup of | #339×D281, C2×#31823223, #49095011, … |
| maximal quotient of | #49093136, #49093140, #49093143, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 309);