Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C23×#13083557 |
| Fitting | C23×C8×C89 ⋊ C2 |
| Sylow | C89 ⋊ C23×M16 |
1720 conjugacy classes of subgroups.
2896 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36459654, #36459679, #36459685, … |
| maximal normal subgroup of | #36459654, #36459679, #36459685, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 19211);