Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C151 ⋊ #533 |
222 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|a^2=f,c^2=f,d^2=e,b^a=be,c^a=cf,g^c=g^1501528 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34070052, #34070085, #34070089, … |
| maximal normal subgroup of | #34070052, #34070085, #34070089, … |
| maximal quotient of | #34071513, #34071582, #34071592, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 1102);