Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#18012659 |
| Fitting | C2×C4⋊C4×C151 ⋊ C2 |
| Sylow | C151 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
1528 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34068924, C4×#18012659, #34068934, … |
| maximal normal subgroup of | #34068924, C4×#18012659, #34068934, … |
| maximal quotient of | C2×#23751939, #34067508, #34067534, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 535);