Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
402 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 129 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. #19152155 | C2 | semidirect |
| 2. #19152001 | C2 | semidirect |
| 3. #19151970 | C2 | semidirect |
| 4. #19151950 | C2 | semidirect |
| 5. #19151944 | C2 | semidirect |
| 6. #19151842 | C2 | semidirect |
| 7. #19151698 | C2 | semidirect |
| 8. C4×#13083558 | C2 | semidirect |
| 90. #10623494 | #41 | semidirect |
| 113. C89 | #3182 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152155 | 2 |
| #19152001 | 2 |
| #19151970 | 2 |
| #19151950 | 2 |
| #19151944 | 2 |
| #19151842 | 2 |
| #19151698 | 2 |
| C4×#13083558 | 2 |
| #532×C89 | 2 |
| #3182 | 89 |