Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×#19151779 |
| Fitting | C2×#137×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#456 |
708 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 708 conjugacy classes of subgroups — too many to draw. Only its 149 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1000 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#19151779, #36560338, #36560375, … |
| maximal normal subgroup of | C4×#19151779, #36560338, #36560375, … |
| maximal quotient of | C2×#26019212, C2×#26019214, C2×#26019246, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13850);