Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
380 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 380 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 |
|---|---|---|
| 3. #19152006 | C2 | semidirect |
| 4. #19152001 | C2 | semidirect |
| 5. #19151996 | C2 | semidirect |
| 6. #19151994 | C2 | semidirect |
| 9. #500×C89 | C2 | semidirect |
| 43. #13083557 | Q8 | semidirect |
| 86. C8×C89 | C2×Q8 | semidirect |
| 87. #10623494 | C2×Q8 | semidirect |
| 107. C89 | #3165 | semidirect |
| 112. #500 | D89 | semidirect |
| 194. C8 | Q8×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152153 | 2 |
| C4⋊Q8×D89 | 2 |
| #19152006 | 2 |
| #19152001 | 2 |
| #19151996 | 2 |
| #19151994 | 2 |
| #19151639 | 2 |
| C4×#13083557 | 2 |
| #500×C89 | 2 |
| #3165 | 89 |