Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C281 ⋊ M64 |
32 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8992 |
Polycyclic presentation:
2^6,281|a^2=c,c^2=d,d^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 | #49093438, #49093439, #49093442, … |
| maximal normal subgroup of | #49093438, #49093439, #49093442, … |
| maximal quotient of | #49093437, #49093441, #49093499, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 383);