Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19152213 | C2 | semidirect |
| 2. #19152002 | C2 | semidirect |
| 3. #19151981 | C2 | semidirect |
| 4. #19151956 | C2 | semidirect |
| 5. #19151843 | C2 | semidirect |
| 6. #19151840 | C2 | semidirect |
| 8. #19151698 | C2 | semidirect |
| 9. C4×Dic356 | C2 | semidirect |
| 10. #19151552 | C2 | semidirect |
| 11. C4×D8×C89 | C2 | semidirect |
| 118. C89 | #3175 | semidirect |
| 128. C4×D8 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152213 | 2 |
| #19152002 | 2 |
| #19151981 | 2 |
| #19151956 | 2 |
| #19151843 | 2 |
| #19151840 | 2 |
| #19151831 | 2 |
| #19151698 | 2 |
| C4×Dic356 | 2 |
| #19151552 | 2 |
| C4×D8×C89 | 2 |
| #3175 | 89 |