Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C149 ⋊ #408 |
158 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=e,e^2=f,b^a=bd,g^a=g^148,c^b=cf1508 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34042811, #34042813, #34042819, … |
| maximal normal subgroup of | #34042811, #34042813, #34042819, … |
| maximal quotient of | #34043039, #34043043, #34043047, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 516);