Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C281 ⋊ #427 |
114 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8992 |
Polycyclic presentation:
2^6,281|a^2=e,b^2=d,c^2=f,d^2=f,b^a=bd,d^a=df,g^b=g^2802828 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49095181, #49095183, #49095186, … |
| maximal normal subgroup of | #49095181, #49095183, #49095186, … |
| maximal quotient of | #49094049, #49094064, #49094081, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 585);