Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
402 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 75 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. #19135445 | C2 | semidirect |
| 3. #19133362 | C2 | semidirect |
| 4. #19133318 | C2 | semidirect |
| 5. #19133186 | C2 | semidirect |
| 6. #19132468 | C2 | semidirect |
| 7. C43×#1527 | C2 | semidirect |
| 187. #1527 | D43 | semidirect |
| 219. C43 | #10496 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145582 | 2 |
| #19135445 | 2 |
| #19133362 | 2 |
| #19133318 | 2 |
| #19133186 | 2 |
| #19132468 | 2 |
| C43×#1527 | 2 |
| #10496 | 43 |