Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
578 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 578 conjugacy classes of subgroups — too many to draw. Only its 105 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. #19135568 | C2 | semidirect |
| 4. #19135567 | C2 | semidirect |
| 6. #19132477 | C2 | semidirect |
| 7. C43×#1295 | C2 | semidirect |
| 13. #14583293 | C4 | semidirect |
| 44. #13063325 | C2×C4 | semidirect |
| 74. #97×C43 | C2×C4 | semidirect |
| 219. #1295 | D43 | semidirect |
| 250. C43 | #9003 | semidirect |
| 291. #97 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583293 | 2 |
| #19137766 | 2 |
| #19135568 | 2 |
| #19135567 | 2 |
| C2×#14582638 | 2 |
| #19132477 | 2 |
| C43×#1295 | 2 |
| #9003 | 43 |