Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | #108×C151 ⋊ C2 |
| Sylow | C151 ⋊ #444 |
104 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|a^2=e,c^2=e,d^2=f,e^2=f,b^a=bd,c^a=cf,d^a=df,d^b=df,g^b=g^150,g^c=g^1501072 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34071000, #34071004, #34071007, … |
| maximal normal subgroup of | #34071000, #34071004, #34071007, … |
| maximal quotient of | #34067921, #34067928, #34067933, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 670);