Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | #108×C151 ⋊ C2 |
| Sylow | C151 ⋊ #472 |
108 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|b^2=df,d^2=f,e^2=f,b^a=bd,c^a=ce,d^a=df,e^a=ef,g^a=g^150,e^c=ef,g^c=g^1501066 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34071068, #34071070, #34071075, … |
| maximal normal subgroup of | #34071068, #34071070, #34071075, … |
| maximal quotient of | #34068466, #34068471, #34068510, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 820);