Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
476 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 67 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. #19136514 | C2 | semidirect |
| 3. #19135605 | C2 | semidirect |
| 4. #19132605 | C2 | semidirect |
| 5. C43×#1314 | C2 | semidirect |
| 6. C22×Dic172 | C22 | semidirect |
| 16. #14582662 | C22 | semidirect |
| 18. C43×C22⋊C16 | C22 | semidirect |
| 94. C23×C43 | SD32 | semidirect |
| 155. #1314 | D43 | semidirect |
| 174. C22⋊C16 | C2×D43 | semidirect |
| 176. C43 | #12105 | semidirect |
| 256. C23 | #13063270 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145346 | 2 |
| #19136514 | 2 |
| #19135605 | 2 |
| #19132605 | 2 |
| C43×#1314 | 2 |
| #12105 | 43 |