Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
316 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 57 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. #19136288 | C2 | semidirect |
| 3. #19136283 | C2 | semidirect |
| 4. #19132768 | C2 | semidirect |
| 5. #19132761 | C2 | semidirect |
| 6. #19132761 | C2 | semidirect |
| 7. C43×#1413 | C2 | semidirect |
| 157. #1413 | D43 | semidirect |
| 184. C43 | #13611 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145657 | 2 |
| #19136288 | 2 |
| #19136283 | 2 |
| #19132768 | 2 |
| #19132761 | 2 |
| C43×#1413 | 2 |
| #13611 | 43 |