Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
522 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 522 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19143395 | C2 | semidirect |
| 3. C2×#14582710 | C2 | semidirect |
| 4. #19135472 | C2 | semidirect |
| 5. #19132700 | C2 | semidirect |
| 6. #19132678 | C2 | semidirect |
| 7. C43×#2140 | C2 | semidirect |
| 11. #14583335 | C4 | semidirect |
| 48. #13063265 | C2×C4 | semidirect |
| 63. C2×D8×C43 | C2×C4 | semidirect |
| 115. Dic172 | C22⋊C4 | semidirect |
| 117. D344 | C22⋊C4 | semidirect |
| 182. #2140 | D43 | semidirect |
| 212. C43 | #13025 | semidirect |
| 227. C2×D8 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583335 | 2 |
| #19143395 | 2 |
| C2×#14582710 | 2 |
| #19135472 | 2 |
| #19132700 | 2 |
| #19132678 | 2 |
| C43×#2140 | 2 |
| #13025 | 43 |