Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
370 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 83 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. #19152078 | C2 | semidirect |
| 3. C2×#15667938 | C2 | semidirect |
| 4. #19151501 | C2 | semidirect |
| 5. #19151366 | C2 | semidirect |
| 6. #19151357 | C2 | semidirect |
| 7. #418×C89 | C2 | semidirect |
| 10. #15668038 | C4 | semidirect |
| 42. #13083558 | C2×C4 | semidirect |
| 58. C2×D4×C89 | C2×C4 | semidirect |
| 95. D356 | C22⋊C4 | semidirect |
| 100. Dic178 | C22⋊C4 | semidirect |
| 133. C89 | #1883 | semidirect |
| 137. #418 | D89 | semidirect |
| 174. C2×D4 | C4×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668038 | 2 |
| #19152078 | 2 |
| C2×#15667938 | 2 |
| #19151501 | 2 |
| #19151366 | 2 |
| #19151357 | 2 |
| #418×C89 | 2 |
| #1883 | 89 |