Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
204 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 204 conjugacy classes of subgroups — too many to draw. Only its 59 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. #19151646 | C2 | semidirect |
| 4. #19151370 | C2 | semidirect |
| 5. #19151368 | C2 | semidirect |
| 6. #19151354 | C2 | semidirect |
| 86. C89 | #2081 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151646 | 2 |
| #19151603 | 2 |
| C2×#15667929 | 2 |
| #19151370 | 2 |
| #19151368 | 2 |
| #19151354 | 2 |
| #418×C89 | 2 |
| #2081 | 89 |