Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C257 ⋊ #333 |
64 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16448 |
Polycyclic presentation:
2^6,257|a^2=d,b^2=f,c^2=f,d^2=ef,b^a=bc,c^a=ce,g^a=g^256,c^b=cf,d^b=def1811 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45662473, #45662474, #333×D257, … |
| maximal normal subgroup of | #45662473, #45662474, #333×D257, … |
| maximal quotient of | #45662146, #45662203, #45662381, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 298);