Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
232 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 2. C2×#15667951 | C2 | semidirect |
| 3. #107×D89 | C2 | semidirect |
| 4. #19151403 | C2 | semidirect |
| 5. #19151401 | C2 | semidirect |
| 6. #19151399 | C2 | semidirect |
| 7. #357×C89 | C2 | semidirect |
| 10. #15668031 | C4 | semidirect |
| 30. Dic356 | C2×C4 | semidirect |
| 40. D8×C89 | C2×C4 | semidirect |
| 82. C89 | #2139 | semidirect |
| 89. #357 | D89 | semidirect |
| 116. D8 | C4×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668031 | 2 |
| C2×#15667951 | 2 |
| #107×D89 | 2 |
| #19151403 | 2 |
| #19151401 | 2 |
| #19151399 | 2 |
| #357×C89 | 2 |
| #2139 | 89 |