Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
650 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 650 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 |
|---|---|---|
| 2. #19136955 | C2 | semidirect |
| 3. #19133103 | C2 | semidirect |
| 4. #19133039 | C2 | semidirect |
| 5. #19132489 | C2 | semidirect |
| 6. #19132451 | C2 | semidirect |
| 7. C43×#1980 | C2 | semidirect |
| 11. #14583186 | C4 | semidirect |
| 12. #14583091 | C4 | semidirect |
| 45. C4⋊(C43⋊C8) | C2×C4 | semidirect |
| 58. C4⋊Q8×C43 | C2×C4 | semidirect |
| 59. #127×C43 | C2×C4 | semidirect |
| 158. D172 | #104 | semidirect |
| 192. #1980 | D43 | semidirect |
| 225. C43 | #9325 | semidirect |
| 232. C4⋊Q8 | C4×D43 | semidirect |
| 233. #127 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144682 | 2 |
| #19136955 | 2 |
| #19133103 | 2 |
| #19133039 | 2 |
| #19132489 | 2 |
| #19132451 | 2 |
| C43×#1980 | 2 |
| #9325 | 43 |