Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
538 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 538 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 |
|---|---|---|
| 2. #19134694 | C2 | semidirect |
| 3. #19134672 | C2 | semidirect |
| 5. #19132504 | C2 | semidirect |
| 6. #19132449 | C2 | semidirect |
| 26. C43×#481 | C4 | semidirect |
| 27. C43×#480 | C4 | semidirect |
| 65. C2×C4⋊C4×C43 | C2×C4 | semidirect |
| 66. C2×C4⋊C4×C43 | C2×C4 | semidirect |
| 76. C22⋊C8×C43 | C2×C4 | semidirect |
| 242. #481 | Dic43 | semidirect |
| 243. #480 | Dic43 | semidirect |
| 262. C43 | #9525 | semidirect |
| 278. C2×C4⋊C4 | C2×Dic43 | semidirect |
| 279. C2×C4⋊C4 | C2×Dic43 | semidirect |
| 301. C22⋊C8 | C2×Dic43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137362 | 2 |
| #19134694 | 2 |
| #19134672 | 2 |
| #19133124 | 2 |
| #19132504 | 2 |
| #19132449 | 2 |
| C43×#3094 | 2 |
| #9525 | 43 |