Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
170 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 49 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. #19136388 | C2 | semidirect |
| 3. #19132802 | C2 | semidirect |
| 4. #19132801 | C2 | semidirect |
| 5. #19132785 | C2 | semidirect |
| 6. #19132734 | C2 | semidirect |
| 7. C43×#1419 | C2 | semidirect |
| 85. #1419 | D43 | semidirect |
| 102. C43 | #13717 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136695 | 2 |
| #19136388 | 2 |
| #19132802 | 2 |
| #19132801 | 2 |
| #19132785 | 2 |
| #19132734 | 2 |
| C43×#1419 | 2 |
| #13717 | 43 |