Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#19151635 |
| Fitting | C2×#107×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#427 |
512 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 229 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36469306, #36469309, #36469353, … |
| maximal normal subgroup of | #36469306, #36469309, #36469353, … |
| maximal quotient of | C2×#26018999, C2×#26019014, #36523440, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13089);