Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C22×C8×C151 ⋊ C2 |
| Sylow | C151 ⋊ #408 |
158 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|a^2=e,e^2=f,b^a=bd,c^b=cf,g^b=g^1502428 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34067035, #34069060, #34069075, … |
| maximal normal subgroup of | #34067035, #34069060, #34069075, … |
| maximal quotient of | #34067456, #34067461, #34067465, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 515);