Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C4×Q8×C151 ⋊ C2 |
| Sylow | C151 ⋊ #520 |
294 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|a^2=f,d^2=e,b^a=be,d^a=de,c^b=ce,g^b=g^150,g^c=g^150,g^d=g^1501534 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34077937, #34077941, #34077948, … |
| maximal normal subgroup of | #34077937, #34077941, #34077948, … |
| maximal quotient of | #34071464, #34071470, #34071475, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 1031);