Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22 |
| direct product | #347×D89 |
| Fitting | #347×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#347 |
168 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 87 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1012 conjugacy classes — view the full character table.
| maximal subgroup of | #1355×D89, #1356×D89, #36465603, … |
| maximal normal subgroup of | #1355×D89, #1356×D89, #36465603, … |
| maximal quotient of | #1313×D89, #36463427, #36463469, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6110);