Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
246 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 246 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. #19133420 | C2 | semidirect |
| 3. #19132660 | C2 | semidirect |
| 4. #19132562 | C2 | semidirect |
| 5. #19132561 | C2 | semidirect |
| 6. #19132516 | C2 | semidirect |
| 7. C43×#1580 | C2 | semidirect |
| 26. #13063266 | C8 | semidirect |
| 49. D8×C43 | C2×C8 | semidirect |
| 63. D344 | C2×C8 | semidirect |
| 67. C43⋊C16 | C2×C8 | semidirect |
| 106. #1580 | D43 | semidirect |
| 131. C43 | #12067 | semidirect |
| 160. D8 | C8×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136469 | 2 |
| #19133420 | 2 |
| #19132660 | 2 |
| #19132562 | 2 |
| #19132561 | 2 |
| #19132516 | 2 |
| C43×#1580 | 2 |
| #12067 | 43 |