Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Fitting | C4⋊C8×C151 ⋊ C2 |
| Sylow | C151 ⋊ #433 |
96 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|a^2=e,c^2=d,e^2=f,b^a=bd,c^b=cf,g^b=g^150,g^c=g^1501528 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #433×D151, C2×#23752272, #34077744, … |
| maximal normal subgroup of | #433×D151, C2×#23752272, #34077744, … |
| maximal quotient of | #34068860, #34068875, #34068969, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 609);