Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
376 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 73 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. #19136214 | C2 | semidirect |
| 3. #19134640 | C2 | semidirect |
| 4. #19132583 | C2 | semidirect |
| 5. #19132581 | C2 | semidirect |
| 6. #19132579 | C2 | semidirect |
| 7. C43×#1340 | C2 | semidirect |
| 8. C2×#13063348 | C4 | semidirect |
| 12. #14583154 | C4 | semidirect |
| 13. #14583153 | C4 | semidirect |
| 18. #106×D43 | C4 | semidirect |
| 182. #1340 | D43 | semidirect |
| 210. C43 | #11867 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144259 | 2 |
| #19136214 | 2 |
| #19134640 | 2 |
| #19132583 | 2 |
| #19132581 | 2 |
| #19132579 | 2 |
| C43×#1340 | 2 |
| #11867 | 43 |