Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
374 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 4. #19151473 | C2 | semidirect |
| 5. #19151470 | C2 | semidirect |
| 6. #19151364 | C2 | semidirect |
| 7. #342×C89 | C2 | semidirect |
| 21. #15667926 | C4 | semidirect |
| 52. C22⋊Dic89 | C2×C4 | semidirect |
| 68. C22⋊C4×C89 | C2×C4 | semidirect |
| 82. C22×D89 | C4⋊C4 | semidirect |
| 113. C2×Dic89 | C4⋊C4 | semidirect |
| 158. C89 | #1867 | semidirect |
| 165. #342 | D89 | semidirect |
| 224. C22⋊C4 | C4×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152071 | 2 |
| C2×#15667926 | 2 |
| #19151475 | 2 |
| #19151473 | 2 |
| #19151470 | 2 |
| #19151364 | 2 |
| #342×C89 | 2 |
| #1867 | 89 |