Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
536 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 97 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. #19145084 | C2 | semidirect |
| 3. #19136332 | C2 | semidirect |
| 4. #19136315 | C2 | semidirect |
| 5. #19135494 | C2 | semidirect |
| 6. #19132682 | C2 | semidirect |
| 7. C2×C43×#510 | C2 | semidirect |
| 207. C2×#510 | D43 | semidirect |
| 244. C43 | #13335 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147729 | 2 |
| #19145084 | 2 |
| #19136332 | 2 |
| #19136315 | 2 |
| #19135494 | 2 |
| #19132682 | 2 |
| C2×C43×#510 | 2 |
| #13335 | 43 |