Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
418 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 93 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. #19136204 | C2 | semidirect |
| 3. C22⋊C16×D43 | C2 | semidirect |
| 4. #19132534 | C2 | semidirect |
| 5. #19132534 | C2 | semidirect |
| 6. #19132519 | C2 | semidirect |
| 7. C43×#1314 | C2 | semidirect |
| 188. #1314 | D43 | semidirect |
| 216. C43 | #11467 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582973 | 2 |
| #19136204 | 2 |
| C22⋊C16×D43 | 2 |
| #19132534 | 2 |
| #19132519 | 2 |
| C43×#1314 | 2 |
| #11467 | 43 |