Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
594 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 594 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 3. #19135576 | C2 | semidirect |
| 5. #19133160 | C2 | semidirect |
| 6. #19132454 | C2 | semidirect |
| 7. C43×#1274 | C2 | semidirect |
| 11. #14583272 | C4 | semidirect |
| 12. #14583246 | C4 | semidirect |
| 33. #13063325 | C2×C4 | semidirect |
| 34. #13063325 | C2×C4 | semidirect |
| 64. C4×C8×C43 | C2×C4 | semidirect |
| 96. C42×C43 | SD16 | semidirect |
| 195. #1274 | D43 | semidirect |
| 221. C43 | #9295 | semidirect |
| 257. C4×C8 | C4×D43 | semidirect |
| 308. C42 | #10621873 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145538 | 2 |
| #19137320 | 2 |
| #19135576 | 2 |
| #19133262 | 2 |
| #19133160 | 2 |
| #19132454 | 2 |
| C43×#1274 | 2 |
| #9295 | 43 |