Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C257 ⋊ #520 |
294 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8224 |
Polycyclic presentation:
2^6,257|a^2=f,d^2=e,b^a=be,d^a=de,g^a=g^256,c^b=ce2594 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45664544, #45664548, #45664551, … |
| maximal normal subgroup of | #45664544, #45664548, #45664551, … |
| maximal quotient of | #45666676, #45666681, #45666685, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 1032);