Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C151 ⋊ #328 |
80 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|a^2=d,b^2=e,c^2=f,b^a=bc,c^a=ce,g^a=g^150,c^b=cf,d^b=def,g^b=g^1501519 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #328×D151, C2×#23751950, #34067593, … |
| maximal normal subgroup of | #328×D151, C2×#23751950, #34067593, … |
| maximal quotient of | #34066934, #34066935, #34066990, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 287);