Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
680 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 680 conjugacy classes of subgroups — too many to draw. Only its 99 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×#14582696 | C2 | semidirect |
| 3. #19134553 | C2 | semidirect |
| 4. #19132722 | C2 | semidirect |
| 5. C43×#2379 | C2 | semidirect |
| 9. #14583071 | C4 | semidirect |
| 25. #13063373 | C2×C4 | semidirect |
| 43. #13063244 | C2×C4 | semidirect |
| 187. #2379 | D43 | semidirect |
| 214. C43 | #13055 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583071 | 2 |
| C2×#14582696 | 2 |
| #19134553 | 2 |
| #19132722 | 2 |
| C43×#2379 | 2 |
| #13055 | 43 |