Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
446 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 129 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×#15668043 | C2 | semidirect |
| 3. C2×#15668043 | C2 | semidirect |
| 4. #19152364 | C2 | semidirect |
| 5. #19151872 | C2 | semidirect |
| 6. #19151864 | C2 | semidirect |
| 7. #19151646 | C2 | semidirect |
| 8. #19151580 | C2 | semidirect |
| 9. C2×#101×C89 | C2 | semidirect |
| 22. C2×#13083564 | C22 | semidirect |
| 24. C2×#13083561 | C22 | semidirect |
| 30. #15667947 | C22 | semidirect |
| 31. #15667930 | C22 | semidirect |
| 32. #15667928 | C22 | semidirect |
| 36. #101×C89 | C22 | semidirect |
| 143. C89 | #3069 | semidirect |
| 152. C2×#101 | D89 | semidirect |
| 178. #101 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152398 | 2 |
| C2×#15668043 | 2 |
| #19152364 | 2 |
| #19151872 | 2 |
| #19151864 | 2 |
| #19151646 | 2 |
| #19151580 | 2 |
| C2×#101×C89 | 2 |
| #3069 | 89 |