Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×#15668439 |
| Sylow | C181 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
1828 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37532525, C8×#15668439, #37532537, … |
| maximal normal subgroup of | #37532525, C8×#15668439, #37532537, … |
| maximal quotient of | C8×#15668439, #37532569, #37532571, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 642);