Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
492 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 97 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. #19133371 | C2 | semidirect |
| 3. #19133264 | C2 | semidirect |
| 4. #19133264 | C2 | semidirect |
| 5. #19132986 | C2 | semidirect |
| 6. #19132490 | C2 | semidirect |
| 7. C43×#1800 | C2 | semidirect |
| 178. #1800 | D43 | semidirect |
| 208. C43 | #10440 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583094 | 2 |
| #19133371 | 2 |
| #19133264 | 2 |
| #19132986 | 2 |
| #19132490 | 2 |
| C43×#1800 | 2 |
| #10440 | 43 |