Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C22×D1448 |
| Fitting | C22×C8×C181 ⋊ C2 |
| Sylow | C181 ⋊ C22×D8 |
338 conjugacy classes of subgroups.
2908 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37534068, #37534070, #37534585, … |
| maximal normal subgroup of | #37534068, #37534070, #37534585, … |
| maximal quotient of | C22×#19153738, C22×#19153750, C2×C4×D1448, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1319);