Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
474 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 109 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. C2×#14583007 | C2 | semidirect |
| 3. C2×#14582716 | C2 | semidirect |
| 6. #19132694 | C2 | semidirect |
| 7. C43×#1375 | C2 | semidirect |
| 13. C2×Dic344 | C4 | semidirect |
| 14. C2×#13063270 | C4 | semidirect |
| 171. #1375 | D43 | semidirect |
| 196. C43 | #13038 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583342 | 2 |
| C2×#14583007 | 2 |
| C2×#14582716 | 2 |
| C2×#14582710 | 2 |
| #19135488 | 2 |
| #19132694 | 2 |
| C43×#1375 | 2 |
| #13038 | 43 |