Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
316 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 316 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 |
|---|---|---|
| 1. #19136390 | C2 | semidirect |
| 5. C4×#13063261 | C2 | semidirect |
| 6. #19132707 | C2 | semidirect |
| 7. C43×#1376 | C2 | semidirect |
| 16. #14582716 | C4 | semidirect |
| 17. #14582713 | C4 | semidirect |
| 143. #1376 | D43 | semidirect |
| 164. C43 | #13137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136390 | 2 |
| #19136345 | 2 |
| #19136324 | 2 |
| #19135483 | 2 |
| C4×#13063261 | 2 |
| #19132707 | 2 |
| C43×#1376 | 2 |
| #13137 | 43 |