Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C22×#15668434 |
| Fitting | C22×D4×C181 ⋊ C2 |
| Sylow | C181 ⋊ C22×D8 |
338 conjugacy classes of subgroups.
1828 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37534066, #37534067, #37534069, … |
| maximal normal subgroup of | #37534066, #37534067, #37534069, … |
| maximal quotient of | C22×#19153736, C22×#19153737, C22×#19153749, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1318);