Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19152328 |
| Sylow | C89 ⋊ C2×Q82 |
1112 conjugacy classes of subgroups; only the 581 normal subgroups are shown.
This group has 1112 conjugacy classes of subgroups — too many to draw. Only its 581 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1282 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36446193, #36446544, #36446548, … |
| maximal normal subgroup of | #36446193, #36446544, #36446548, … |
| maximal quotient of | C2×#26023164, C2×#26023166, C2×#26023338, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 18085);