Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19151411 |
| Sylow | C89 ⋊ C2×#361 |
256 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 93 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1264 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#19151411, #361×Dic89, #36469698, … |
| maximal normal subgroup of | C4×#19151411, #361×Dic89, #36469698, … |
| maximal quotient of | C2×#26018219, #36464203, #36464434, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6250);