Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#14558993 |
| Fitting | C22×C8×C151 ⋊ C2 |
| Sylow | C151 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
2428 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34069443, #34069445, #34069464, … |
| maximal normal subgroup of | #34069443, #34069445, #34069464, … |
| maximal quotient of | C22×#18012661, C22×#18012664, C22×#18012671, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 1323);