Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C22×Q8×C257 ⋊ C2 |
| Sylow | C257 ⋊ #448 |
158 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8224 |
Polycyclic presentation:
2^6,257|b^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^256,d^b=df2579 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45663270, #45663271, #45663281, … |
| maximal normal subgroup of | #45663270, #45663271, #45663281, … |
| maximal quotient of | #45663243, #45663260, #45663311, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 688);