Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#19152394 |
| Fitting | C2×AGL(1,ℤ/8)×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#575 |
1484 conjugacy classes of subgroups.
1012 conjugacy classes — view the full character table.
| maximal subgroup of | #36555933, #36555942, #36556300, … |
| maximal normal subgroup of | #36555933, #36555942, #36556300, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 19253);