Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
194 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 194 conjugacy classes of subgroups — too many to draw. Only its 63 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. #19136482 | C2 | semidirect |
| 3. #19132800 | C2 | semidirect |
| 4. #19132785 | C2 | semidirect |
| 5. #19132781 | C2 | semidirect |
| 6. #19132731 | C2 | semidirect |
| 7. C43×#2177 | C2 | semidirect |
| 10. #14582737 | C4 | semidirect |
| 11. #14582734 | C4 | semidirect |
| 23. Dic344 | C2×C4 | semidirect |
| 25. D688 | C2×C4 | semidirect |
| 29. C43⋊C32 | C2×C4 | semidirect |
| 86. #2177 | D43 | semidirect |
| 108. C43 | #13658 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136908 | 2 |
| #19136482 | 2 |
| #19132800 | 2 |
| #19132785 | 2 |
| #19132781 | 2 |
| #19132731 | 2 |
| C43×#2177 | 2 |
| #13658 | 43 |