Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C257 ⋊ #346 |
54 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16448 |
Polycyclic presentation:
2^6,257|a^2=c,b^2=d,c^2=e,e^2=f,b^a=bf,g^b=g^2564136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45662455, #346×D257, C2×#30656512, … |
| maximal normal subgroup of | #45662455, #346×D257, C2×#30656512, … |
| maximal quotient of | #45662236, #45662239, #45662397, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 324);