Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
576 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 576 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 1. #19137752 | C2 | semidirect |
| 2. #19135432 | C2 | semidirect |
| 3. #19133124 | C2 | semidirect |
| 4. #19133111 | C2 | semidirect |
| 5. #19132502 | C2 | semidirect |
| 6. #19132449 | C2 | semidirect |
| 26. C43×#481 | C4 | semidirect |
| 29. C43×#447 | C4 | semidirect |
| 57. C22×D4×C43 | C2×C4 | semidirect |
| 70. C2×C4⋊C4×C43 | C2×C4 | semidirect |
| 78. C22⋊C8×C43 | C2×C4 | semidirect |
| 259. #481 | Dic43 | semidirect |
| 262. #447 | Dic43 | semidirect |
| 279. C43 | #9343 | semidirect |
| 282. C22×D4 | C2×Dic43 | semidirect |
| 299. C2×C4⋊C4 | C2×Dic43 | semidirect |
| 320. C22⋊C8 | C2×Dic43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137752 | 2 |
| #19135432 | 2 |
| #19133124 | 2 |
| #19133111 | 2 |
| #19132502 | 2 |
| #19132449 | 2 |
| C43×#3192 | 2 |
| #9343 | 43 |