Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
522 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 522 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19143397 | C2 | semidirect |
| 3. C2×#14582710 | C2 | semidirect |
| 4. #19136312 | C2 | semidirect |
| 5. #19135471 | C2 | semidirect |
| 6. #19132701 | C2 | semidirect |
| 7. C43×#1377 | C2 | semidirect |
| 12. #14583337 | C4 | semidirect |
| 41. C2×D344 | C2×C4 | semidirect |
| 66. M32×C43 | C2×C4 | semidirect |
| 111. Dic172 | C22⋊C4 | semidirect |
| 117. D344 | C22⋊C4 | semidirect |
| 185. #1377 | D43 | semidirect |
| 212. C43 | #13025 | semidirect |
| 244. M32 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583337 | 2 |
| #19143397 | 2 |
| C2×#14582710 | 2 |
| #19136312 | 2 |
| #19135471 | 2 |
| #19132701 | 2 |
| C43×#1377 | 2 |
| #13025 | 43 |