Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
382 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 69 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. C2×#15667926 | C2 | semidirect |
| 3. #19151478 | C2 | semidirect |
| 4. #19151475 | C2 | semidirect |
| 5. #19151473 | C2 | semidirect |
| 6. #19151364 | C2 | semidirect |
| 7. C2×#99×C89 | C2 | semidirect |
| 73. C22⋊C4×C89 | D4 | semidirect |
| 176. C89 | #2044 | semidirect |
| 179. C2×#99 | D89 | semidirect |
| 249. C22⋊C4 | C22⋊D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152157 | 2 |
| C2×#15667926 | 2 |
| #19151478 | 2 |
| #19151475 | 2 |
| #19151473 | 2 |
| #19151364 | 2 |
| C2×#99×C89 | 2 |
| #2044 | 89 |