Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C211 |
| direct product | C23×#13083551 |
| Fitting | C24×C4×C89 ⋊ C2 |
| Sylow | C89 ⋊ C23×C22⋊C4 |
4632 conjugacy classes of subgroups; only the 1413 normal subgroups are shown.
This group has 4632 conjugacy classes of subgroups — too many to draw. Only its 1413 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 | #36442349, #36445754, C2×#26018473, … |
| maximal normal subgroup of | #36442349, #36445754, C2×#26018473, … |
| maximal quotient of | C23×#15667919, C22×C4×#13083551, C22×#19151453, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17667);