Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | SD16×C22⋊D89 |
| Fitting | C22×SD16×C89 ⋊ C2 |
| Sylow | C89 ⋊ D4×SD16 |
546 conjugacy classes of subgroups.
1267 conjugacy classes. The character table is too large to display.
| maximal quotient of | #36543891, #36543896, #36543906, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 16200);