Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
318 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 318 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 4. #19132648 | C2 | semidirect |
| 5. #19132647 | C2 | semidirect |
| 6. #19132646 | C2 | semidirect |
| 7. C43×#1363 | C2 | semidirect |
| 142. #1363 | D43 | direct (N × H) |
| 146. D43 | #1363 | direct (N × H) |
| 166. C43 | C2×#1363 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #499×D43 | 2 |
| C4⋊C16×D43 | 2 |
| #334×D43 | 2 |
| #19132648 | 2 |
| #19132647 | 2 |
| #19132646 | 2 |
| C43×#1363 | 2 |
| C2×#1363 | 43 |