Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
448 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 79 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. #19132583 | C2 | semidirect |
| 5. #19132581 | C2 | semidirect |
| 6. #19132579 | C2 | semidirect |
| 7. C43×#1340 | C2 | semidirect |
| 8. C2×#13063348 | C4 | semidirect |
| 13. #14583154 | C4 | semidirect |
| 14. #14583153 | C4 | semidirect |
| 18. #14582934 | C4 | semidirect |
| 32. C2×D344 | C2×C4 | semidirect |
| 59. #13063257 | C2×C4 | semidirect |
| 63. C2×Q16×C43 | C2×C4 | semidirect |
| 68. #106×C43 | C2×C4 | semidirect |
| 202. #1340 | D43 | semidirect |
| 231. C43 | #11685 | semidirect |
| 236. C2×Q16 | C4×D43 | semidirect |
| 270. #106 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144206 | 2 |
| #349×D43 | 2 |
| H(3,ℤ/4)×D43 | 2 |
| #19132583 | 2 |
| #19132581 | 2 |
| #19132579 | 2 |
| C43×#1340 | 2 |
| #11685 | 43 |