Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#15668438 |
| Fitting | C22×C8×C181 ⋊ C2 |
| Sylow | C181 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
2908 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37534054, #37534056, #37534075, … |
| maximal normal subgroup of | #37534054, #37534056, #37534075, … |
| maximal quotient of | C22×#19153738, C22×#19153741, C22×#19153748, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1323);