Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊#13083549 |
| Sylow | C89 ⋊ C2×C4⋊C16 |
184 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 184 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.
2896 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36441290, #36441291, #36441294, … |
| maximal normal subgroup of | #36441290, #36441291, #36441294, … |
| maximal quotient of | C2×#26018316, C2×#26018322, #36466028, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6263);