Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
476 conjugacy classes of subgroups; only the 253 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 253 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 |
|---|---|---|
| 3. #19151641 | C2 | semidirect |
| 4. #19151638 | C2 | semidirect |
| 5. #19151634 | C2 | semidirect |
| 6. C2×#15667945 | C2 | semidirect |
| 8. #15668019 | C4 | semidirect |
| 26. #13083558 | C2×C4 | semidirect |
| 27. C2×#10623494 | C2×C4 | semidirect |
| 77. C89 | #2913 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668019 | 2 |
| #19152081 | 2 |
| #19151641 | 2 |
| #19151638 | 2 |
| #19151634 | 2 |
| C2×#15667945 | 2 |
| #520×C89 | 2 |
| #2913 | 89 |