Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
726 conjugacy classes of subgroups; only the 253 normal subgroups are shown.
This group has 726 conjugacy classes of subgroups — too many to draw. Only its 253 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. #19152081 | C2 | semidirect |
| 3. #19151608 | C2 | semidirect |
| 4. #19151600 | C2 | semidirect |
| 5. #19151595 | C2 | semidirect |
| 6. C2×#15667937 | C2 | semidirect |
| 7. C2×#131×C89 | C2 | semidirect |
| 9. #15668059 | C4 | semidirect |
| 28. #13083574 | C2×C4 | semidirect |
| 32. C2×Dic178 | C2×C4 | semidirect |
| 95. C89 | #2898 | semidirect |
| 97. C2×#131 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668059 | 2 |
| #19152081 | 2 |
| #19151608 | 2 |
| #19151600 | 2 |
| #19151595 | 2 |
| C2×#15667937 | 2 |
| C2×#131×C89 | 2 |
| #2898 | 89 |