Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #107×D181 |
| Fitting | #107×C181 ⋊ C2 |
| Sylow | C181 ⋊ C2×#107 |
130 conjugacy classes of subgroups.
1288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #357×D181, #358×D181, #37535430, … |
| maximal normal subgroup of | #357×D181, #358×D181, #37535430, … |
| maximal quotient of | #335×D181, #37532478, #37532494, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 581);