Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
402 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 402 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. C4×#13063264 | C2 | semidirect |
| 3. #335×D43 | C2 | semidirect |
| 4. #19132560 | C2 | semidirect |
| 5. #19132558 | C2 | semidirect |
| 6. #19132556 | C2 | semidirect |
| 7. C43×#1331 | C2 | semidirect |
| 29. #13063344 | C8 | semidirect |
| 75. D8×C43 | C2×C8 | semidirect |
| 98. Dic172 | C2×C8 | semidirect |
| 162. #1331 | D43 | semidirect |
| 187. C43 | #11592 | semidirect |
| 239. D8 | C8×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#13063344 | 2 |
| C4×#13063264 | 2 |
| #335×D43 | 2 |
| #19132560 | 2 |
| #19132558 | 2 |
| #19132556 | 2 |
| C43×#1331 | 2 |
| #11592 | 43 |