Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | #449×D89 |
| Fitting | #449×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#449 |
812 conjugacy classes of subgroups.
874 conjugacy classes — view the full character table.
| maximal quotient of | #1597×D89, #1609×D89, #1600×D89, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13707);