Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | #500×D89 |
| Fitting | #500×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#500 |
424 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 165 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 | #1364×D89, #1365×D89, #36465717, … |
| maximal normal subgroup of | #1364×D89, #1365×D89, #36465717, … |
| maximal quotient of | #1845×D89, #1942×D89, #1990×D89, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 15015);