Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×D8×C151 ⋊ C2 |
| Sylow | C151 ⋊ #509 |
90 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|d^2=ef,e^2=f,b^a=bd,c^a=cf,d^a=de,e^a=ef,g^a=g^150,d^b=de,e^b=ef1066 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34071006, #34071011, #34071054, … |
| maximal normal subgroup of | #34071006, #34071011, #34071054, … |
| maximal quotient of | #34070820, #34070826, #34070896, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 985);