Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
552 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 101 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#15667938 | C2 | semidirect |
| 3. #19151600 | C2 | semidirect |
| 4. #19151505 | C2 | semidirect |
| 5. C2×#101×C89 | C2 | semidirect |
| 8. #15668060 | C4 | semidirect |
| 102. C89 | #1793 | semidirect |
| 106. C2×#101 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668060 | 2 |
| C2×#15667938 | 2 |
| #19151600 | 2 |
| #19151505 | 2 |
| C2×#101×C89 | 2 |
| #1793 | 89 |