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 |
|---|---|---|
| 4. #19133159 | C2 | semidirect |
| 5. #19132455 | C2 | semidirect |
| 6. #19132424 | C2 | semidirect |
| 7. C43×#1995 | C2 | semidirect |
| 10. #14583273 | C4 | semidirect |
| 11. #14583247 | C4 | semidirect |
| 48. C4×C43⋊C8 | C2×C4 | semidirect |
| 52. C4⋊Q8×C43 | C2×C4 | semidirect |
| 53. C4⋊Q8×C43 | C2×C4 | semidirect |
| 105. C42×C43 | SD16 | semidirect |
| 191. #1995 | D43 | semidirect |
| 221. C43 | #9295 | semidirect |
| 228. C4⋊Q8 | C4×D43 | semidirect |
| 229. C4⋊Q8 | C4×D43 | semidirect |
| 308. C42 | #10621884 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145533 | 2 |
| #19137320 | 2 |
| #19133264 | 2 |
| #19133159 | 2 |
| #19132455 | 2 |
| #19132424 | 2 |
| C43×#1995 | 2 |
| #9295 | 43 |