Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C149 ⋊ #518 |
338 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=f,b^a=be,d^a=de,g^a=g^148,c^b=ce1514 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34044797, #34044800, #34044900, … |
| maximal normal subgroup of | #34044797, #34044800, #34044900, … |
| maximal quotient of | #34047044, #34047048, #34047052, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1024);