Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C24 |
| direct product | C22⋊C16×D89 |
| Fitting | C22⋊C16×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×C22⋊C16 |
272 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 97 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1314×D89, #36463491, #1315×D89, … |
| maximal normal subgroup of | #1314×D89, #36463491, #1315×D89, … |
| maximal quotient of | #1314×D89, #1322×D89, #36463623, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6116);