Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
492 conjugacy classes of subgroups; only the 175 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 175 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. C4×#13083573 | C2 | semidirect |
| 3. #19151710 | C2 | semidirect |
| 4. #19151706 | C2 | semidirect |
| 5. #19151704 | C2 | semidirect |
| 6. #19151698 | C2 | semidirect |
| 7. #19151695 | C2 | semidirect |
| 8. #19151633 | C2 | semidirect |
| 9. #19151591 | C2 | semidirect |
| 10. #97×D89 | C2 | semidirect |
| 11. #442×C89 | C2 | semidirect |
| 13. #15668031 | C4 | semidirect |
| 41. #13083573 | C2×C4 | semidirect |
| 48. Dic356 | C2×C4 | semidirect |
| 49. #13083562 | C2×C4 | semidirect |
| 53. C8×D89 | C2×C4 | semidirect |
| 66. D8×C89 | C2×C4 | semidirect |
| 115. C89 | #2943 | semidirect |
| 119. #442 | D89 | semidirect |
| 167. D8 | C4×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668031 | 2 |
| C4×#13083573 | 2 |
| #19151710 | 2 |
| #19151706 | 2 |
| #19151704 | 2 |
| #19151698 | 2 |
| #19151695 | 2 |
| #19151633 | 2 |
| #19151591 | 2 |
| #97×D89 | 2 |
| #442×C89 | 2 |
| #2943 | 89 |