Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
360 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19152323 | C2 | semidirect |
| 3. #19152006 | C2 | semidirect |
| 5. #19151892 | C2 | semidirect |
| 6. #19151880 | C2 | semidirect |
| 8. #19151728 | C2 | semidirect |
| 11. #500×C89 | C2 | semidirect |
| 48. #13083563 | Q8 | semidirect |
| 93. Dic178 | C2×Q8 | semidirect |
| 95. C8×C89 | C2×Q8 | semidirect |
| 117. C89 | #3386 | semidirect |
| 121. #500 | D89 | semidirect |
| 213. C8 | Q8×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152323 | 2 |
| #19152263 | 2 |
| #19152006 | 2 |
| #19151901 | 2 |
| #19151892 | 2 |
| #19151880 | 2 |
| #19151875 | 2 |
| #19151728 | 2 |
| #19151697 | 2 |
| C4×#13083563 | 2 |
| #500×C89 | 2 |
| #3386 | 89 |