Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
688 conjugacy classes of subgroups; only the 169 normal subgroups are shown.
This group has 688 conjugacy classes of subgroups — too many to draw. Only its 169 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×#15667995 | C2 | semidirect |
| 3. C22×C4×Dic89 | C2 | semidirect |
| 4. #19151498 | C2 | semidirect |
| 5. #19151493 | C2 | semidirect |
| 6. #19151492 | C2 | semidirect |
| 7. #19151488 | C2 | semidirect |
| 8. #19151478 | C2 | semidirect |
| 9. #19151475 | C2 | semidirect |
| 10. #19151456 | C2 | semidirect |
| 11. C2×#123×C89 | C2 | semidirect |
| 72. C22×C4×C89 | D4 | semidirect |
| 150. Dic89 | #123 | semidirect |
| 160. C89 | #2854 | semidirect |
| 162. C2×#123 | D89 | semidirect |
| 221. C22×C4 | C22⋊D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667995 | 2 |
| C2×#15667984 | 2 |
| C22×C4×Dic89 | 2 |
| #19151498 | 2 |
| #19151493 | 2 |
| #19151492 | 2 |
| #19151488 | 2 |
| #19151478 | 2 |
| #19151475 | 2 |
| #19151456 | 2 |
| C2×#123×C89 | 2 |
| #2854 | 89 |