Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | #108×D151 |
| Fitting | #108×C151 ⋊ C2 |
| Sylow | C151 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
1078 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #359×D151, #34070836, #361×D151, … |
| maximal normal subgroup of | #359×D151, #34070836, #361×D151, … |
| maximal quotient of | #334×D151, #335×D151, #34067855, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 593);