Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C257 ⋊ #322 |
66 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16448 |
Polycyclic presentation:
2^6,257|a^2=c,b^2=d,c^2=e,d^2=f,b^a=be,g^a=g^2564136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #322×D257, C2×#30656459, C8×#16861601, … |
| maximal normal subgroup of | #322×D257, C2×#30656459, C8×#16861601, … |
| maximal quotient of | #45662147, #45662239, #45662241, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 271);