Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | C4×C8×C281 ⋊ C2 |
| Sylow | C281 ⋊ #493 |
162 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8992 |
Polycyclic presentation:
2^6,281|b^2=df,c^2=e,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^2804502 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49093339, #49093348, #49093350, … |
| maximal normal subgroup of | #49093339, #49093348, #49093350, … |
| maximal quotient of | #49094895, #49094909, #49094918, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 926);