Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#18012656 |
| Sylow | C151 ⋊ C2×#100 |
186 conjugacy classes of subgroups.
1522 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34067227, #34067228, C4×#18012656, … |
| maximal normal subgroup of | #34067227, #34067228, C4×#18012656, … |
| maximal quotient of | C2×#23751936, #34067431, #34067437, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 526);