Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
510 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 95 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. #19132600 | C2 | semidirect |
| 4. #19132597 | C2 | semidirect |
| 5. C43×#1800 | C2 | semidirect |
| 197. #1800 | D43 | semidirect |
| 226. C43 | #11884 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19139551 | 2 |
| #19132913 | 2 |
| #19132600 | 2 |
| #19132597 | 2 |
| C43×#1800 | 2 |
| #11884 | 43 |