Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
394 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 71 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. #19152396 | C2 | semidirect |
| 2. #19152109 | C2 | semidirect |
| 3. #19151616 | C2 | semidirect |
| 4. #19151615 | C2 | semidirect |
| 5. #19151562 | C2 | semidirect |
| 6. #19151354 | C2 | semidirect |
| 7. #525×C89 | C2 | semidirect |
| 37. C2×Dic178 | D4 | semidirect |
| 38. C2×D356 | D4 | semidirect |
| 51. C2×#10623494 | D4 | semidirect |
| 57. C4×Dic89 | D4 | semidirect |
| 63. C2×Q8×C89 | D4 | semidirect |
| 66. C2×D4×C89 | D4 | semidirect |
| 81. C42×C89 | D4 | semidirect |
| 158. C89 | #2010 | semidirect |
| 161. #525 | D89 | semidirect |
| 201. C2×Q8 | C22⋊D89 | semidirect |
| 207. C2×D4 | C22⋊D89 | semidirect |
| 239. C42 | C22⋊D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152396 | 2 |
| #19152109 | 2 |
| #19151616 | 2 |
| #19151615 | 2 |
| #19151562 | 2 |
| #19151354 | 2 |
| #525×C89 | 2 |
| #2010 | 89 |