Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
872 conjugacy classes of subgroups; only the 237 normal subgroups are shown.
This group has 872 conjugacy classes of subgroups — too many to draw. Only its 237 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. C2×C4×Dic178 | C2 | semidirect |
| 3. #19151500 | C2 | semidirect |
| 4. #19151498 | C2 | semidirect |
| 5. #19151458 | C2 | semidirect |
| 6. #19151457 | C2 | semidirect |
| 7. #19151445 | C2 | semidirect |
| 8. C4×C22⋊C4×C89 | C2 | semidirect |
| 10. C2×#13083574 | C4 | semidirect |
| 76. C2×C4×C89 | #41 | semidirect |
| 85. Dic178 | C22⋊C4 | semidirect |
| 115. C89 | #2341 | semidirect |
| 123. C4×C22⋊C4 | D89 | semidirect |
| 200. C2×C4 | #13083574 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13083574 | 2 |
| C2×C4×Dic178 | 2 |
| #19151500 | 2 |
| #19151498 | 2 |
| #19151458 | 2 |
| #19151457 | 2 |
| #19151445 | 2 |
| C4×C22⋊C4×C89 | 2 |
| #2341 | 89 |