Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
434 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 434 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 |
|---|---|---|
| 1. C4×#13083574 | C2 | semidirect |
| 2. #19151919 | C2 | semidirect |
| 3. #19151890 | C2 | semidirect |
| 4. #19151885 | C2 | semidirect |
| 5. #19151795 | C2 | semidirect |
| 6. #19151790 | C2 | semidirect |
| 7. #19151741 | C2 | semidirect |
| 8. C4×#13083562 | C2 | semidirect |
| 9. C4×#13083559 | C2 | semidirect |
| 10. #19151651 | C2 | semidirect |
| 11. #532×C89 | C2 | semidirect |
| 109. D356 | #41 | semidirect |
| 114. Dic178 | #41 | semidirect |
| 145. C89 | #3106 | semidirect |
| 146. #532 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#13083574 | 2 |
| #19151919 | 2 |
| #19151890 | 2 |
| #19151885 | 2 |
| #19151795 | 2 |
| #19151790 | 2 |
| #19151741 | 2 |
| C4×#13083562 | 2 |
| C4×#13083559 | 2 |
| #19151651 | 2 |
| #532×C89 | 2 |
| #3106 | 89 |