Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C2×C16×C151 ⋊ C2 |
| Sylow | C151 ⋊ #359 |
56 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|a^2=d,c^2=ef,d^2=f,e^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^150,c^b=ce,e^b=ef,g^b=g^1502422 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #359×D151, C2×#23752020, #34070836, … |
| maximal normal subgroup of | #359×D151, C2×#23752020, #34070836, … |
| maximal quotient of | #34067072, #34067075, #34067126, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 357);