Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
342 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 59 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. #19136529 | C2 | semidirect |
| 4. #19132612 | C2 | semidirect |
| 6. #19132537 | C2 | semidirect |
| 7. C43×#2047 | C2 | semidirect |
| 158. #2047 | D43 | semidirect |
| 186. C43 | #12169 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19146056 | 2 |
| #19136529 | 2 |
| #19136512 | 2 |
| #19132612 | 2 |
| #19132609 | 2 |
| #19132537 | 2 |
| C43×#2047 | 2 |
| #12169 | 43 |