Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
212 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 71 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. C4×D688 | C2 | semidirect |
| 3. #19132797 | C2 | semidirect |
| 4. #19132774 | C2 | semidirect |
| 5. C43×#1397 | C2 | semidirect |
| 8. D1376 | C4 | semidirect |
| 17. D688 | C2×C4 | semidirect |
| 24. C32×C43 | C2×C4 | semidirect |
| 60. #1397 | D43 | semidirect |
| 72. C43 | #13654 | semidirect |
| 83. C32 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D1376 | 2 |
| C4×D688 | 2 |
| #19132797 | 2 |
| #19132774 | 2 |
| C43×#1397 | 2 |
| #13654 | 43 |