Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
576 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 576 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19137754 | C2 | semidirect |
| 3. #19135431 | C2 | semidirect |
| 4. #19133123 | C2 | semidirect |
| 5. #19133110 | C2 | semidirect |
| 6. #19132502 | C2 | semidirect |
| 7. C43×#1284 | C2 | semidirect |
| 11. #14583218 | C4 | semidirect |
| 14. #14583035 | C4 | semidirect |
| 31. C22×D172 | C2×C4 | semidirect |
| 47. C2×C4⋊Dic43 | C2×C4 | semidirect |
| 74. C22⋊C8×C43 | C2×C4 | semidirect |
| 246. #1284 | D43 | semidirect |
| 279. C43 | #9343 | semidirect |
| 320. C22⋊C8 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145395 | 2 |
| #19137754 | 2 |
| #19135431 | 2 |
| #19133123 | 2 |
| #19133110 | 2 |
| #19132502 | 2 |
| C43×#1284 | 2 |
| #9343 | 43 |