Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C4×#15668009 |
| Fitting | C43×C89 ⋊ C2 |
| Sylow | C89 ⋊ C4×#127 |
924 conjugacy classes of subgroups; only the 277 normal subgroups are shown.
This group has 924 conjugacy classes of subgroups — too many to draw. Only its 277 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
2872 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36442402, #36442483, #36442485, … |
| maximal normal subgroup of | #36442402, #36442483, #36442485, … |
| maximal quotient of | C4×#19151500, C4×#19151468, C4×#19151508, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 7075);