Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | #442×D89 |
| Fitting | #442×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#442 |
608 conjugacy classes of subgroups; only the 183 normal subgroups are shown.
This group has 608 conjugacy classes of subgroups — too many to draw. Only its 183 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1012 conjugacy classes — view the full character table.
| maximal subgroup of | AGL(1,ℤ/16)×D89 |
| maximal normal subgroup of | AGL(1,ℤ/16)×D89 |
| maximal quotient of | #1580×D89, #1586×D89, #1594×D89, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13299);