Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | D8×C22⋊D89 |
| Fitting | C22×D8×C89 ⋊ C2 |
| Sylow | C89 ⋊ D4×D8 |
620 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 620 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.
1267 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36710880, #36710884, #36710886, … |
| maximal normal subgroup of | #36710880, #36710884, #36710886, … |
| maximal quotient of | #36543771, #36543776, #36543786, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 16181);