Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | SD16×Dic178 |
| Sylow | C89 ⋊ Q8×SD16 |
370 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1267 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36543921, #36543930, #36543981, … |
| maximal normal subgroup of | #36543921, #36543930, #36543981, … |
| maximal quotient of | #102×Dic178, #103×Dic178, SD16×#13083553, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17368);