Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×Q16×C257 ⋊ C2 |
| Sylow | C257 ⋊ #467 |
114 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8224 |
Polycyclic presentation:
2^6,257|a^2=f,b^2=df,d^2=f,b^a=bd,c^a=ce,d^a=df,g^c=g^2561814 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45666247, #45666252, #45666257, … |
| maximal normal subgroup of | #45666247, #45666252, #45666257, … |
| maximal quotient of | #45663682, #45663687, #45663716, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 787);