Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Fitting | #97×C257 ⋊ C2 |
| Sylow | C257 ⋊ #489 |
100 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^a=g^256,c^b=cf2576 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45663627, #45663628, #45663638, … |
| maximal normal subgroup of | #45663627, #45663628, #45663638, … |
| maximal quotient of | #45664454, #45665010, #45665017, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 909);