Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1526 conjugacy classes of subgroups; only the 299 normal subgroups are shown.
This group has 1526 conjugacy classes of subgroups — too many to draw. Only its 299 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. C2×#14583280 | C2 | semidirect |
| 2. C2×#14583278 | C2 | semidirect |
| 4. C2×#14583272 | C2 | semidirect |
| 5. #19142953 | C2 | semidirect |
| 6. #19142951 | C2 | semidirect |
| 7. C4×C8×Dic43 | C2 | semidirect |
| 8. C2×C43×#492 | C2 | semidirect |
| 52. C8×Dic43 | D4 | semidirect |
| 146. C4×C43 | #495 | semidirect |
| 155. C2×#492 | D43 | semidirect |
| 185. C43 | #33303 | semidirect |
| 303. C4 | #14583280 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583280 | 2 |
| C2×#14583278 | 2 |
| C2×#14583275 | 2 |
| C2×#14583272 | 2 |
| #19142953 | 2 |
| #19142951 | 2 |
| C4×C8×Dic43 | 2 |
| C2×C43×#492 | 2 |
| #33303 | 43 |