Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×C4⋊Dic151 |
| Sylow | C151 ⋊ C22×C4⋊C4 |
418 conjugacy classes of subgroups.
2440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34067339, #34067340, #34067344, … |
| maximal normal subgroup of | #34067339, #34067340, #34067344, … |
| maximal quotient of | C22×C151⋊#95, C2×C4×C4⋊Dic151, C2×#23752072, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 1000);