Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C151 ⋊ #442 |
132 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|a^2=e,c^2=ef,d^2=f,b^a=bd,c^a=cf,d^a=df,g^a=g^150,d^b=df,g^c=g^1501072 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34071009, #34071011, #442×D151, … |
| maximal normal subgroup of | #34071009, #34071011, #442×D151, … |
| maximal quotient of | #34067934, #34067975, #34068024, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 661);