Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C151 ⋊ #510 |
82 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|b^2=f,d^2=ef,e^2=f,b^a=bd,c^a=cf,d^a=de,e^a=ef,d^b=de,e^b=ef,g^b=g^1501066 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34070998, #34071001, #34071061, … |
| maximal normal subgroup of | #34070998, #34071001, #34071061, … |
| maximal quotient of | #34070822, #34070829, #34070899, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 989);