Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#19151581 |
| Fitting | C2×#101×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#413 |
756 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 756 conjugacy classes of subgroups — too many to draw. Only its 213 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 | #36469408, #36469414, #36471969, … |
| maximal normal subgroup of | #36469408, #36469414, #36471969, … |
| maximal quotient of | C2×#26018565, C2×#26018569, #36520240, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 12984);