Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
372 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 61 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. #19136677 | C2 | semidirect |
| 3. #19136676 | C2 | semidirect |
| 4. #19134201 | C2 | semidirect |
| 5. #19132631 | C2 | semidirect |
| 6. #19132569 | C2 | semidirect |
| 7. C43×#1335 | C2 | semidirect |
| 12. #14583279 | C22 | semidirect |
| 19. #14582720 | C22 | semidirect |
| 23. C43×#364 | C22 | semidirect |
| 24. C82×C43 | C22 | semidirect |
| 146. #1335 | D43 | semidirect |
| 165. #364 | C2×D43 | semidirect |
| 168. C82 | C2×D43 | semidirect |
| 169. C43 | #12312 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19146395 | 2 |
| #19136677 | 2 |
| #19136676 | 2 |
| #19134201 | 2 |
| #19132631 | 2 |
| #19132569 | 2 |
| C43×#1335 | 2 |
| #12312 | 43 |