Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
398 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 95 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×#14582716 | C2 | semidirect |
| 4. #19135510 | C2 | semidirect |
| 6. #19132689 | C2 | semidirect |
| 7. C43×#2151 | C2 | semidirect |
| 150. #2151 | D43 | semidirect |
| 178. C43 | #13440 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13063270 | 2 |
| C2×#14582716 | 2 |
| C2×#14582713 | 2 |
| #19135510 | 2 |
| #19135505 | 2 |
| #19132689 | 2 |
| C43×#2151 | 2 |
| #13440 | 43 |