Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
332 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 79 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. #19152066 | C2 | semidirect |
| 3. #19151616 | C2 | semidirect |
| 4. C2×#15667939 | C2 | semidirect |
| 5. #19151368 | C2 | semidirect |
| 6. #19151357 | C2 | semidirect |
| 7. #410×C89 | C2 | semidirect |
| 9. #15668043 | C4 | semidirect |
| 11. #15668038 | C4 | semidirect |
| 46. #13083558 | C2×C4 | semidirect |
| 59. C2×Q8×C89 | C2×C4 | semidirect |
| 61. C2×D4×C89 | C2×C4 | semidirect |
| 130. C89 | #1906 | semidirect |
| 135. #410 | D89 | semidirect |
| 168. C2×Q8 | C4×D89 | semidirect |
| 172. C2×D4 | C4×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152396 | 2 |
| #19152066 | 2 |
| #19151616 | 2 |
| C2×#15667939 | 2 |
| #19151368 | 2 |
| #19151357 | 2 |
| #410×C89 | 2 |
| #1906 | 89 |