Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#15668439 |
| Sylow | C181 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
1828 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37534059, #37534060, #37534062, … |
| maximal normal subgroup of | #37534059, #37534060, #37534062, … |
| maximal quotient of | C22×#19153739, C22×#19153740, C22×#19153749, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1325);