Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
338 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 69 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. #19147447 | C2 | semidirect |
| 3. #19133952 | C2 | semidirect |
| 4. #19132650 | C2 | semidirect |
| 5. #19132575 | C2 | semidirect |
| 6. #19132557 | C2 | semidirect |
| 7. C43×#2240 | C2 | semidirect |
| 83. D344 | SD16 | semidirect |
| 109. Dic86 | D16 | semidirect |
| 133. #2240 | D43 | semidirect |
| 161. C43 | #12352 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147447 | 2 |
| #19136627 | 2 |
| #19133952 | 2 |
| #19132650 | 2 |
| #19132575 | 2 |
| #19132557 | 2 |
| C43×#2240 | 2 |
| #12352 | 43 |