Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
362 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 73 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. C2×#15668042 | C2 | semidirect |
| 3. C22×#13083563 | C2 | semidirect |
| 4. C2×#15667930 | C2 | semidirect |
| 5. C2×#15667928 | C2 | semidirect |
| 6. #19151363 | C2 | semidirect |
| 7. #408×C89 | C2 | semidirect |
| 128. C89 | #2019 | semidirect |
| 134. #408 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668042 | 2 |
| C2×#15668037 | 2 |
| C22×#13083563 | 2 |
| C2×#15667930 | 2 |
| C2×#15667928 | 2 |
| #19151363 | 2 |
| #408×C89 | 2 |
| #2019 | 89 |