Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
434 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 63 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. #19145901 | C2 | semidirect |
| 2. #19136507 | C2 | semidirect |
| 3. #19135903 | C2 | semidirect |
| 4. #19132605 | C2 | semidirect |
| 5. #19132604 | C2 | semidirect |
| 6. #19132534 | C2 | semidirect |
| 7. C43×#2184 | C2 | semidirect |
| 149. C2×Dic43 | D16 | semidirect |
| 186. #2184 | D43 | semidirect |
| 218. C43 | #12158 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145901 | 2 |
| #19136507 | 2 |
| #19135903 | 2 |
| #19132605 | 2 |
| #19132604 | 2 |
| #19132534 | 2 |
| C43×#2184 | 2 |
| #12158 | 43 |