Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
328 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 328 conjugacy classes of subgroups — too many to draw. Only its 97 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. C2×#14582676 | C2 | semidirect |
| 4. #19135331 | C2 | semidirect |
| 5. #19132704 | C2 | semidirect |
| 6. #19132693 | C2 | semidirect |
| 15. #14582703 | C4 | semidirect |
| 16. #14582700 | C4 | semidirect |
| 171. C43 | #13153 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136307 | 2 |
| C2×#14582676 | 2 |
| #19135489 | 2 |
| #19135331 | 2 |
| #19132704 | 2 |
| #19132693 | 2 |
| C2×C43×#360 | 2 |
| #13153 | 43 |