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. #19132800 | C2 | semidirect |
| 4. #19132786 | C2 | semidirect |
| 5. #19132784 | C2 | semidirect |
| 6. #19132734 | C2 | semidirect |
| 7. C43×#1426 | C2 | semidirect |
| 83. #1426 | 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 |
|---|---|
| #19136699 | 2 |
| #19136388 | 2 |
| #19132800 | 2 |
| #19132786 | 2 |
| #19132784 | 2 |
| #19132734 | 2 |
| C43×#1426 | 2 |
| #13717 | 43 |