Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D1448 |
| Fitting | C4×C8×C181 ⋊ C2 |
| Sylow | C181 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
2908 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37531681, #37531683, #37531687, … |
| maximal normal subgroup of | #37531681, #37531683, #37531687, … |
| maximal quotient of | C8×D1448, #37532552, #37532607, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 633);