Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
456 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 4. C2×#14582716 | C2 | semidirect |
| 5. #19135510 | C2 | semidirect |
| 6. #19132707 | C2 | semidirect |
| 7. C43×#1378 | C2 | semidirect |
| 12. #14583342 | C4 | semidirect |
| 168. #1378 | D43 | semidirect |
| 194. C43 | #13031 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583342 | 2 |
| #19143513 | 2 |
| #19136345 | 2 |
| C2×#14582716 | 2 |
| #19135510 | 2 |
| #19132707 | 2 |
| C43×#1378 | 2 |
| #13031 | 43 |