Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | #97×C281 ⋊ C2 |
| Sylow | C281 ⋊ #405 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8992 |
Polycyclic presentation:
2^6,281|a^2=d,b^2=e,d^2=f,g^a=g^280,c^b=cf,g^c=g^2802840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49096906, #49097117 |
| maximal normal subgroup of | #49096906, #49097117 |
| maximal quotient of | #49093582, #49093588, #49093589, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 506);