Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
316 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 65 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. #19136408 | C2 | semidirect |
| 3. #19134351 | C2 | semidirect |
| 4. #19132585 | C2 | semidirect |
| 5. #19132581 | C2 | semidirect |
| 6. #19132580 | C2 | semidirect |
| 7. C43×#1341 | C2 | semidirect |
| 9. #14583299 | C4 | semidirect |
| 10. #14583274 | C4 | semidirect |
| 14. #14583011 | C4 | semidirect |
| 15. #14583010 | C4 | semidirect |
| 150. #1341 | D43 | semidirect |
| 177. C43 | #11770 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145240 | 2 |
| #19136408 | 2 |
| #19134351 | 2 |
| #19132585 | 2 |
| #19132581 | 2 |
| #19132580 | 2 |
| C43×#1341 | 2 |
| #11770 | 43 |