Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C281 ⋊ #346 |
54 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17984 |
Polycyclic presentation:
2^6,281|a^2=c,b^2=d,c^2=e,e^2=f,b^a=bf,g^a=g^2804520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49093223, #49093224, #49093225, … |
| maximal normal subgroup of | #49093223, #49093224, #49093225, … |
| maximal quotient of | #49093220, #49093221, #49093381, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 325);