Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C22×C8×C257 ⋊ C2 |
| Sylow | C257 ⋊ #416 |
158 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8224 |
Polycyclic presentation:
2^6,257|a^2=e,c^2=f,d^2=f,b^a=bd,d^a=df,g^a=g^256,d^b=df,g^b=g^2564124 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45664156, #45664157, #45664163, … |
| maximal normal subgroup of | #45664156, #45664157, #45664163, … |
| maximal quotient of | #45662703, #45662729, #45662755, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 546);