Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
288 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 288 conjugacy classes of subgroups — too many to draw. Only its 53 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. #19151916 | C2 | semidirect |
| 3. #19151331 | C2 | semidirect |
| 4. #19151322 | C2 | semidirect |
| 5. #399×C89 | C2 | semidirect |
| 13. C22⋊#10623494 | C22 | semidirect |
| 15. C2×C4⋊C4×C89 | C22 | semidirect |
| 18. #95×C89 | C22 | semidirect |
| 96. C89 | #1613 | semidirect |
| 99. #399 | D89 | semidirect |
| 108. C2×C4⋊C4 | C2×D89 | semidirect |
| 114. #95 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152160 | 2 |
| #19151916 | 2 |
| #19151331 | 2 |
| #19151322 | 2 |
| #399×C89 | 2 |
| #1613 | 89 |