Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
584 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 584 conjugacy classes of subgroups — too many to draw. Only its 157 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. C2×#15668037 | C2 | semidirect |
| 2. C2×#15668009 | C2 | semidirect |
| 3. #19151798 | C2 | semidirect |
| 4. #19151793 | C2 | semidirect |
| 5. #19151622 | C2 | semidirect |
| 6. #19151602 | C2 | semidirect |
| 7. C4×#41×C89 | C2 | semidirect |
| 11. C2×#13083561 | C22 | semidirect |
| 12. C2×#13083559 | C22 | semidirect |
| 17. C4⋊#10623494 | C22 | semidirect |
| 18. #15667932 | C22 | semidirect |
| 20. C4×Q8×C89 | C22 | semidirect |
| 22. C4×D4×C89 | C22 | semidirect |
| 40. #41×C89 | D4 | semidirect |
| 63. Q8×C89 | C2×D4 | semidirect |
| 66. D4×C89 | C2×D4 | semidirect |
| 96. C4×C89 | AGL(1,ℤ/8) | semidirect |
| 105. C89 | #3038 | semidirect |
| 108. C4×#41 | D89 | semidirect |
| 123. C4×Q8 | C2×D89 | semidirect |
| 125. C4×D4 | C2×D89 | semidirect |
| 134. #41 | D356 | semidirect |
| 168. Q8 | C2×D356 | semidirect |
| 176. D4 | C2×D356 | semidirect |
| 201. C4 | #15668037 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668037 | 2 |
| C2×#15668009 | 2 |
| #19151798 | 2 |
| #19151793 | 2 |
| #19151622 | 2 |
| #19151602 | 2 |
| C4×#41×C89 | 2 |
| #3038 | 89 |