Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
362 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19151616 | C2 | semidirect |
| 3. C2×#15667929 | C2 | semidirect |
| 4. #19151354 | C2 | semidirect |
| 5. #518×C89 | C2 | semidirect |
| 8. #15668008 | C4 | semidirect |
| 9. #15667999 | C4 | semidirect |
| 21. C2×Dic178 | C2×C4 | semidirect |
| 22. C2×D356 | C2×C4 | semidirect |
| 32. C4×Dic89 | C2×C4 | semidirect |
| 43. C42×C89 | D4 | semidirect |
| 89. C89 | #1911 | semidirect |
| 91. #518 | D89 | semidirect |
| 132. C42 | C22⋊D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152165 | 2 |
| #19151616 | 2 |
| C2×#15667929 | 2 |
| #19151354 | 2 |
| #518×C89 | 2 |
| #1911 | 89 |