Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19153740 |
| Sylow | C181 ⋊ C2×#103 |
162 conjugacy classes of subgroups.
1828 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#19153740, #103×Dic181, #37533551, … |
| maximal normal subgroup of | C4×#19153740, #103×Dic181, #37533551, … |
| maximal quotient of | C2×Q8⋊#13089678, #37532124, #37532150, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 540);