Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C151 ⋊ #342 |
142 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|a^2=d,b^2=e,b^a=bc,c^a=cf,g^a=g^150,d^b=df1522 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34067107, #34067108, #34067110, … |
| maximal normal subgroup of | #34067107, #34067108, #34067110, … |
| maximal quotient of | #34066953, #34066957, #34066963, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 316);