Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
534 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 534 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19133146 | C2 | semidirect |
| 5. #19132461 | C2 | semidirect |
| 6. #19132459 | C2 | semidirect |
| 7. C43×#1515 | C2 | semidirect |
| 10. #14583247 | C4 | semidirect |
| 11. #14583247 | C4 | semidirect |
| 43. C4×C43⋊C8 | C2×C4 | semidirect |
| 47. C4⋊Q8×C43 | C2×C4 | semidirect |
| 48. C4⋊Q8×C43 | C2×C4 | semidirect |
| 167. #1515 | D43 | semidirect |
| 192. C43 | #9425 | semidirect |
| 198. C4⋊Q8 | C4×D43 | semidirect |
| 199. C4⋊Q8 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144971 | 2 |
| #19137771 | 2 |
| #19133308 | 2 |
| #19133146 | 2 |
| #19132461 | 2 |
| #19132459 | 2 |
| C43×#1515 | 2 |
| #9425 | 43 |