Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
496 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 496 conjugacy classes of subgroups — too many to draw. Only its 81 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. #349×D43 | C2 | semidirect |
| 3. H(3,ℤ/4)×D43 | C2 | semidirect |
| 4. #19132581 | C2 | semidirect |
| 5. #19132580 | C2 | semidirect |
| 6. #19132579 | C2 | semidirect |
| 7. C43×#1339 | C2 | semidirect |
| 8. C2×D8×D43 | C4 | semidirect |
| 13. #14583153 | C4 | semidirect |
| 17. #14583149 | C4 | semidirect |
| 18. #106×D43 | C4 | semidirect |
| 20. #14582681 | C22 | semidirect |
| 22. #14582656 | C22 | semidirect |
| 25. C43×#349 | C22 | semidirect |
| 26. C43×H(3,ℤ/4) | C22 | semidirect |
| 30. C2×D344 | C2×C4 | semidirect |
| 58. #13063257 | C2×C4 | semidirect |
| 63. C2×D8×C43 | C2×C4 | semidirect |
| 68. #106×C43 | C2×C4 | semidirect |
| 214. #1339 | D43 | direct (N × H) |
| 222. D43 | #1339 | direct (N × H) |
| 238. #349 | C2×D43 | semidirect |
| 241. H(3,ℤ/4) | C2×D43 | semidirect |
| 242. C43 | C2×#1339 | semidirect |
| 250. C2×D8 | C4×D43 | semidirect |
| 281. #106 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #469×D43 | 2 |
| #349×D43 | 2 |
| H(3,ℤ/4)×D43 | 2 |
| #19132581 | 2 |
| #19132580 | 2 |
| #19132579 | 2 |
| C43×#1339 | 2 |
| C2×#1339 | 43 |