Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
612 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 97 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. #19135538 | C2 | semidirect |
| 4. #19133108 | C2 | semidirect |
| 6. #19132487 | C2 | semidirect |
| 7. C43×#1285 | C2 | semidirect |
| 12. #14583180 | C4 | semidirect |
| 13. #14583105 | C4 | semidirect |
| 34. #13063325 | C2×C4 | semidirect |
| 35. #13063325 | C2×C4 | semidirect |
| 65. C4⋊C8×C43 | C2×C4 | semidirect |
| 186. #1285 | D43 | semidirect |
| 214. C43 | #9323 | semidirect |
| 243. C4⋊C8 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144695 | 2 |
| #19136955 | 2 |
| #19135538 | 2 |
| #19133108 | 2 |
| #19133037 | 2 |
| #19132487 | 2 |
| C43×#1285 | 2 |
| #9323 | 43 |