Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#106×D89 |
| Fitting | C2×#106×C89 ⋊ C2 |
| Sylow | C89 ⋊ C22×#106 |
600 conjugacy classes of subgroups; only the 269 normal subgroups are shown.
This group has 600 conjugacy classes of subgroups — too many to draw. Only its 269 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 | #1383×D89, #1386×D89, #36470983, … |
| maximal normal subgroup of | #1383×D89, #1386×D89, #36470983, … |
| maximal quotient of | C2×#334×D89, #1566×D89, C2×#26019006, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13080);