Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
516 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 516 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. #19143183 | C2 | semidirect |
| 3. #19136332 | C2 | semidirect |
| 4. #19136330 | C2 | semidirect |
| 5. C2×#14582680 | C2 | semidirect |
| 6. #19132696 | C2 | semidirect |
| 7. C43×#1384 | C2 | semidirect |
| 13. #14583158 | C4 | semidirect |
| 14. #14583153 | C4 | semidirect |
| 33. C2×Dic172 | C2×C4 | semidirect |
| 35. C2×D344 | C2×C4 | semidirect |
| 60. #13063257 | D4 | semidirect |
| 72. #106×C43 | C2×C4 | semidirect |
| 73. #106×C43 | D4 | semidirect |
| 193. #1384 | D43 | semidirect |
| 219. C43 | #13008 | semidirect |
| 263. #106 | C4×D43 | semidirect |
| 264. #106 | D172 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144205 | 2 |
| #19143183 | 2 |
| #19136332 | 2 |
| #19136330 | 2 |
| C2×#14582680 | 2 |
| #19132696 | 2 |
| C43×#1384 | 2 |
| #13008 | 43 |