Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×D8×C257 ⋊ C2 |
| Sylow | C257 ⋊ #509 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4112 |
Polycyclic presentation:
2^6,257|d^2=ef,e^2=f,b^a=bd,c^a=cf,d^a=de,e^a=ef,g^a=g^256,d^b=de,e^b=ef1808 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45666216, #45666221, #45666264, … |
| maximal normal subgroup of | #45666216, #45666221, #45666264, … |
| maximal quotient of | #45666030, #45666036, #45666106, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 985);