Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
348 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 348 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. #19136265 | C2 | semidirect |
| 3. #19136261 | C2 | semidirect |
| 4. #19132765 | C2 | semidirect |
| 5. #19132765 | C2 | semidirect |
| 6. #19132758 | C2 | semidirect |
| 7. C43×#1408 | C2 | semidirect |
| 8. #14583503 | C4 | semidirect |
| 10. #14583286 | C4 | semidirect |
| 12. #14583254 | C4 | semidirect |
| 17. #14582958 | C4 | semidirect |
| 32. #13063317 | C2×C4 | semidirect |
| 54. #13063236 | C2×C4 | semidirect |
| 57. #127×C43 | C2×C4 | semidirect |
| 61. C4×C8×C43 | C2×C4 | semidirect |
| 171. #1408 | D43 | semidirect |
| 198. C43 | #13609 | semidirect |
| 206. #127 | C4×D43 | semidirect |
| 233. C4×C8 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145638 | 2 |
| #19136265 | 2 |
| #19136261 | 2 |
| #19132765 | 2 |
| #19132758 | 2 |
| C43×#1408 | 2 |
| #13609 | 43 |