Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
290 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 69 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. #19136630 | C2 | semidirect |
| 2. #19134209 | C2 | semidirect |
| 3. D8×C43⋊C8 | C2 | semidirect |
| 4. #19132664 | C2 | semidirect |
| 5. #19132642 | C2 | semidirect |
| 6. #19132641 | C2 | semidirect |
| 7. C43×#2206 | C2 | semidirect |
| 58. D8×C43 | D8 | semidirect |
| 104. C43⋊C8 | D16 | semidirect |
| 123. #2206 | D43 | semidirect |
| 150. C43 | #12424 | semidirect |
| 192. D8 | #10621882 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136630 | 2 |
| #19134209 | 2 |
| D8×C43⋊C8 | 2 |
| #19132664 | 2 |
| #19132642 | 2 |
| #19132641 | 2 |
| C43×#2206 | 2 |
| #12424 | 43 |