Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
284 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 79 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. #19151634 | C2 | semidirect |
| 3. #19151614 | C2 | semidirect |
| 4. #19151572 | C2 | semidirect |
| 5. #19151571 | C2 | semidirect |
| 6. #19151556 | C2 | semidirect |
| 7. #421×C89 | C2 | semidirect |
| 13. C2×#13083564 | C4 | semidirect |
| 14. C2×#13083562 | C4 | semidirect |
| 15. C2×#13083561 | C4 | semidirect |
| 16. C2×#13083559 | C4 | semidirect |
| 133. C89 | #1976 | semidirect |
| 137. #421 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668032 | 2 |
| #19151634 | 2 |
| #19151614 | 2 |
| #19151572 | 2 |
| #19151571 | 2 |
| #19151556 | 2 |
| #421×C89 | 2 |
| #1976 | 89 |