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. #19136673 | C2 | semidirect |
| 3. #19134202 | C2 | semidirect |
| 4. #19132631 | C2 | semidirect |
| 5. #19132568 | C2 | semidirect |
| 6. #19132567 | C2 | semidirect |
| 7. C43×#2214 | C2 | semidirect |
| 17. #14582720 | C22 | semidirect |
| 19. C8×C43⋊C8 | C22 | semidirect |
| 21. C43×#494 | C22 | semidirect |
| 23. C43×#364 | C22 | semidirect |
| 142. #2214 | D43 | semidirect |
| 156. #494 | C2×D43 | semidirect |
| 165. #364 | 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 |
| #19136673 | 2 |
| #19134202 | 2 |
| #19132631 | 2 |
| #19132568 | 2 |
| #19132567 | 2 |
| C43×#2214 | 2 |
| #12312 | 43 |