Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
396 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 63 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. #19136781 | C2 | semidirect |
| 3. #19136778 | C2 | semidirect |
| 4. #19136025 | C2 | semidirect |
| 5. #19132603 | C2 | semidirect |
| 6. #19132518 | C2 | semidirect |
| 7. C43×#1347 | C2 | semidirect |
| 15. C2×#13063259 | C22 | semidirect |
| 22. C22⋊(C43⋊C16) | C22 | semidirect |
| 25. C43×C22⋊C16 | C22 | semidirect |
| 26. C43×#340 | C22 | semidirect |
| 178. #1347 | D43 | semidirect |
| 204. C22⋊C16 | C2×D43 | semidirect |
| 206. #340 | C2×D43 | semidirect |
| 207. C43 | #12281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145342 | 2 |
| #19136781 | 2 |
| #19136778 | 2 |
| #19136025 | 2 |
| #19132603 | 2 |
| #19132518 | 2 |
| C43×#1347 | 2 |
| #12281 | 43 |