Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
484 conjugacy classes of subgroups; only the 175 normal subgroups are shown.
This group has 484 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. #19152080 | C2 | semidirect |
| 3. #19151711 | C2 | semidirect |
| 4. #19151709 | C2 | semidirect |
| 5. #19151705 | C2 | semidirect |
| 6. C4×#13083561 | C2 | semidirect |
| 7. #19151683 | C2 | semidirect |
| 8. #106×D89 | C2 | semidirect |
| 9. #19151598 | C2 | semidirect |
| 10. #19151555 | C2 | semidirect |
| 11. #441×C89 | C2 | semidirect |
| 13. #15668035 | C4 | semidirect |
| 41. #13083575 | C2×C4 | semidirect |
| 49. #13083561 | C2×C4 | semidirect |
| 50. D712 | C2×C4 | semidirect |
| 54. C8×D89 | C2×C4 | semidirect |
| 65. Q16×C89 | C2×C4 | semidirect |
| 115. C89 | #2952 | semidirect |
| 121. #441 | D89 | semidirect |
| 165. Q16 | C4×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668035 | 2 |
| #19152080 | 2 |
| #19151711 | 2 |
| #19151709 | 2 |
| #19151705 | 2 |
| C4×#13083561 | 2 |
| #19151683 | 2 |
| #106×D89 | 2 |
| #19151598 | 2 |
| #19151555 | 2 |
| #441×C89 | 2 |
| #2952 | 89 |