Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | C2×C22⋊(C151⋊C8) |
| Sylow | C151 ⋊ C2×C22⋊C8 |
202 conjugacy classes of subgroups.
2440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34066952, #34066953, #34066956, … |
| maximal normal subgroup of | #34066952, #34066953, #34066956, … |
| maximal quotient of | C2×#23751936, C2×#23751938, #34067424, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 510);