Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
492 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19143186 | C2 | semidirect |
| 3. #19136332 | C2 | semidirect |
| 4. C2×#14582708 | C2 | semidirect |
| 5. #19136224 | C2 | semidirect |
| 6. #19132709 | C2 | semidirect |
| 7. C43×#1383 | C2 | semidirect |
| 13. #14583175 | C4 | semidirect |
| 14. #14583170 | C4 | semidirect |
| 40. C2×Dic172 | C2×C4 | semidirect |
| 42. C2×D344 | C2×C4 | semidirect |
| 73. #108×C43 | C2×C4 | semidirect |
| 194. #1383 | D43 | semidirect |
| 222. C43 | #13005 | semidirect |
| 260. #108 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144316 | 2 |
| #19143186 | 2 |
| #19136332 | 2 |
| C2×#14582708 | 2 |
| #19136224 | 2 |
| #19132709 | 2 |
| C43×#1383 | 2 |
| #13005 | 43 |