Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
524 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 103 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. #19132913 | C2 | semidirect |
| 3. #19132538 | C2 | semidirect |
| 4. #19132526 | C2 | semidirect |
| 5. C43×#1459 | C2 | semidirect |
| 29. #13063321 | C8 | semidirect |
| 88. C2×D172 | C2×C8 | semidirect |
| 108. C4×Dic43 | C2×C8 | semidirect |
| 199. #1459 | D43 | semidirect |
| 227. C43 | #11479 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137317 | 2 |
| #19132913 | 2 |
| #19132538 | 2 |
| #19132526 | 2 |
| C43×#1459 | 2 |
| #11479 | 43 |