Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
228 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 45 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. #19151960 | C2 | semidirect |
| 3. #19151338 | C2 | semidirect |
| 4. #19151337 | C2 | semidirect |
| 5. #497×C89 | C2 | semidirect |
| 13. #15667923 | C22 | semidirect |
| 16. C4⋊Q8×C89 | C22 | semidirect |
| 18. #97×C89 | C22 | semidirect |
| 75. C89 | #1659 | semidirect |
| 77. #497 | D89 | semidirect |
| 83. C4⋊Q8 | C2×D89 | semidirect |
| 93. #97 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152340 | 2 |
| #19151960 | 2 |
| #19151338 | 2 |
| #19151337 | 2 |
| #497×C89 | 2 |
| #1659 | 89 |