Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C257 ⋊ #486 |
118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8224 |
Polycyclic presentation:
2^6,257|b^2=e,c^2=d,d^2=f,e^2=f,b^a=bd,c^a=ce,d^a=df,e^a=ef,g^b=g^256,g^c=g^2561814 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45663407, #45663408, #45663414, … |
| maximal normal subgroup of | #45663407, #45663408, #45663414, … |
| maximal quotient of | #45664447, #45665006, #45665127, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 895);