Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
142 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 49 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. #19152002 | C2 | semidirect |
| 3. #19151425 | C2 | semidirect |
| 4. #19151416 | C2 | semidirect |
| 7. #367×C89 | C2 | semidirect |
| 23. D712 | Q8 | semidirect |
| 64. C89 | #2226 | semidirect |
| 68. #367 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152002 | 2 |
| #19151680 | 2 |
| #19151425 | 2 |
| #19151416 | 2 |
| #19151400 | 2 |
| #19151398 | 2 |
| #367×C89 | 2 |
| #2226 | 89 |