Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | #108×D181 |
| Fitting | #108×C181 ⋊ C2 |
| Sylow | C181 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
1288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #359×D181, #37535447, #361×D181, … |
| maximal normal subgroup of | #359×D181, #37535447, #361×D181, … |
| maximal quotient of | #334×D181, #335×D181, #37532466, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 593);