Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
538 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 538 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. C2×#14583010 | C2 | semidirect |
| 3. C2×#14582711 | C2 | semidirect |
| 4. C2×#14582708 | C2 | semidirect |
| 5. #19135486 | C2 | semidirect |
| 6. #19132674 | C2 | semidirect |
| 7. C43×#1383 | C2 | semidirect |
| 13. C2×#13063270 | C4 | semidirect |
| 14. C2×D688 | C4 | semidirect |
| 34. C2×Dic172 | C2×C4 | semidirect |
| 40. C2×D344 | C2×C4 | semidirect |
| 63. C2×C16×C43 | C2×C4 | semidirect |
| 178. #1383 | D43 | semidirect |
| 205. C43 | #13037 | semidirect |
| 237. C2×C16 | 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 |
| C2×#14583010 | 2 |
| C2×#14582711 | 2 |
| C2×#14582708 | 2 |
| #19135486 | 2 |
| #19132674 | 2 |
| C43×#1383 | 2 |
| #13037 | 43 |