Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
370 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 93 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. C2×#15667939 | C2 | semidirect |
| 3. #19151602 | C2 | semidirect |
| 4. #19151499 | C2 | semidirect |
| 5. #19151367 | C2 | semidirect |
| 6. #19151357 | C2 | semidirect |
| 7. #520×C89 | C2 | semidirect |
| 10. #15668037 | C4 | semidirect |
| 34. C2×D356 | C2×C4 | semidirect |
| 41. #13083558 | C2×C4 | semidirect |
| 75. Q8×C89 | C22⋊C4 | semidirect |
| 79. D4×C89 | C22⋊C4 | semidirect |
| 133. C89 | #1883 | semidirect |
| 135. #520 | D89 | semidirect |
| 208. Q8 | #13083551 | semidirect |
| 216. D4 | #13083551 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668037 | 2 |
| C2×#15667939 | 2 |
| #19151602 | 2 |
| #19151499 | 2 |
| #19151367 | 2 |
| #19151357 | 2 |
| #520×C89 | 2 |
| #1883 | 89 |