Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
360 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 1. #19136407 | C2 | semidirect |
| 2. #19132898 | C2 | semidirect |
| 3. #19132571 | C2 | semidirect |
| 4. #19132568 | C2 | semidirect |
| 7. #14582720 | C22 | semidirect |
| 11. #14582620 | C22 | semidirect |
| 12. C8×C43⋊C8 | C22 | semidirect |
| 59. Q16×C43 | M16 | semidirect |
| 63. D8×C43 | M16 | semidirect |
| 146. C43 | #11669 | semidirect |
| 184. Q16 | #10621877 | semidirect |
| 188. D8 | #10621877 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136407 | 2 |
| #19132898 | 2 |
| #19132571 | 2 |
| #19132568 | 2 |
| C43×#2956 | 2 |
| #11669 | 43 |