Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
772 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 772 conjugacy classes of subgroups — too many to draw. Only its 145 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. #19152434 | C2 | semidirect |
| 2. #19152167 | C2 | semidirect |
| 3. #19152162 | C2 | semidirect |
| 4. #19151786 | C2 | semidirect |
| 5. #19151571 | C2 | semidirect |
| 6. #410×C89 | C2 | semidirect |
| 15. C22×D356 | C22 | semidirect |
| 22. #15667982 | C22 | semidirect |
| 23. #15667980 | C22 | semidirect |
| 24. #15667971 | C22 | semidirect |
| 25. #15667926 | C22 | semidirect |
| 27. #117×C89 | C22 | semidirect |
| 28. #99×C89 | C22 | semidirect |
| 41. C2×Dic178 | D4 | semidirect |
| 49. C2×D356 | D4 | semidirect |
| 56. C2×C4×D89 | D4 | semidirect |
| 64. C2×Q8×C89 | D4 | semidirect |
| 65. C2×D4×C89 | D4 | semidirect |
| 67. C22×C4×C89 | D4 | semidirect |
| 135. C89 | #3027 | semidirect |
| 141. #410 | D89 | semidirect |
| 161. #117 | C2×D89 | semidirect |
| 163. #99 | C2×D89 | semidirect |
| 180. C2×Q8 | D356 | semidirect |
| 193. C2×D4 | D356 | semidirect |
| 197. C22×C4 | D356 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152434 | 2 |
| #19152167 | 2 |
| #19152162 | 2 |
| #19151786 | 2 |
| #19151571 | 2 |
| #410×C89 | 2 |
| #3027 | 89 |