Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
852 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 852 conjugacy classes of subgroups — too many to draw. Only its 173 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. C22×Q8×D89 | C2 | semidirect |
| 2. C2×#15667999 | C2 | semidirect |
| 4. #19151510 | C2 | semidirect |
| 5. #19151505 | C2 | semidirect |
| 6. #19151504 | C2 | semidirect |
| 7. #19151474 | C2 | semidirect |
| 8. C4×#13083551 | C2 | semidirect |
| 9. C2×#124×C89 | C2 | semidirect |
| 39. C2×Dic178 | D4 | semidirect |
| 61. C2×Q8×C89 | D4 | semidirect |
| 122. C2×D89 | #124 | semidirect |
| 138. C89 | #2436 | semidirect |
| 141. C2×#124 | D89 | semidirect |
| 182. C2×Q8 | C22⋊D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Q8×D89 | 2 |
| C2×#15667999 | 2 |
| C2×#15667983 | 2 |
| #19151510 | 2 |
| #19151505 | 2 |
| #19151504 | 2 |
| #19151474 | 2 |
| C4×#13083551 | 2 |
| C2×#124×C89 | 2 |
| #2436 | 89 |