Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
366 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 61 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. #19146400 | C2 | semidirect |
| 2. #19136668 | C2 | semidirect |
| 3. #19134200 | C2 | semidirect |
| 4. #19132633 | C2 | semidirect |
| 5. #19132568 | C2 | semidirect |
| 6. #19132567 | C2 | semidirect |
| 7. C43×#2213 | C2 | semidirect |
| 141. #2213 | D43 | semidirect |
| 168. C43 | #12311 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19146400 | 2 |
| #19136668 | 2 |
| #19134200 | 2 |
| #19132633 | 2 |
| #19132568 | 2 |
| #19132567 | 2 |
| C43×#2213 | 2 |
| #12311 | 43 |