Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
402 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19152178 | C2 | semidirect |
| 2. #19151927 | C2 | semidirect |
| 3. #19151918 | C2 | semidirect |
| 4. #19151851 | C2 | semidirect |
| 5. #19151829 | C2 | semidirect |
| 6. #19151759 | C2 | semidirect |
| 7. #19151746 | C2 | semidirect |
| 8. #19151566 | C2 | semidirect |
| 9. #470×C89 | C2 | semidirect |
| 118. C89 | #3204 | semidirect |
| 122. #470 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152178 | 2 |
| #19151927 | 2 |
| #19151918 | 2 |
| #19151851 | 2 |
| #19151829 | 2 |
| #19151759 | 2 |
| #19151746 | 2 |
| #19151566 | 2 |
| #470×C89 | 2 |
| #3204 | 89 |