Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
482 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 123 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×#15668034 | C2 | semidirect |
| 2. C2×Q16×D89 | C2 | semidirect |
| 3. #19152258 | C2 | semidirect |
| 4. #19151983 | C2 | semidirect |
| 5. #19151835 | C2 | semidirect |
| 6. #19151823 | C2 | semidirect |
| 7. #19151758 | C2 | semidirect |
| 8. #19151738 | C2 | semidirect |
| 9. #19151692 | C2 | semidirect |
| 10. C8×C22⋊D89 | C2 | semidirect |
| 11. #467×C89 | C2 | semidirect |
| 54. Dic356 | D4 | semidirect |
| 120. C2×D89 | #135 | semidirect |
| 137. C89 | #3285 | semidirect |
| 142. #467 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668034 | 2 |
| C2×Q16×D89 | 2 |
| #19152258 | 2 |
| #19151983 | 2 |
| #19151835 | 2 |
| #19151823 | 2 |
| #19151758 | 2 |
| #19151738 | 2 |
| #19151692 | 2 |
| C8×C22⋊D89 | 2 |
| #467×C89 | 2 |
| #3285 | 89 |