Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C151 ⋊ #443 |
106 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|a^2=e,c^2=e,d^2=f,e^2=f,b^a=bd,d^a=df,g^a=g^150,d^b=df,g^c=g^1501078 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34070988, #34070991, #34070993, … |
| maximal normal subgroup of | #34070988, #34070991, #34070993, … |
| maximal quotient of | D8×C151⋊C8, SD16×C151⋊C8, Q16×C151⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 666);