Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
704 conjugacy classes of subgroups; only the 209 normal subgroups are shown.
This group has 704 conjugacy classes of subgroups — too many to draw. Only its 209 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. #19152364 | C2 | semidirect |
| 3. #19151582 | C2 | semidirect |
| 4. #19151579 | C2 | semidirect |
| 5. C2×#15667930 | C2 | semidirect |
| 6. #101×D89 | C2 | semidirect |
| 7. #413×C89 | C2 | semidirect |
| 115. C89 | #2889 | semidirect |
| 120. #413 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668059 | 2 |
| #19152364 | 2 |
| #19151582 | 2 |
| #19151579 | 2 |
| C2×#15667930 | 2 |
| #101×D89 | 2 |
| #413×C89 | 2 |
| #2889 | 89 |