Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Sylow | C151 ⋊ #410 |
158 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|a^2=e,c^2=f,b^a=bd,d^a=df,g^a=g^150,e^b=ef1522 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34067230, #34067231, #34067239, … |
| maximal normal subgroup of | #34067230, #34067231, #34067239, … |
| maximal quotient of | #34067424, #34067431, #34067434, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 523);