Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #440×D89 |
| Fitting | #440×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#440 |
544 conjugacy classes of subgroups.
1012 conjugacy classes — view the full character table.
| maximal quotient of | SD16⋊C8×D89, #1585×D89, #1588×D89, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13285);