Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
364 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 1. C2×#13063347 | C2 | semidirect |
| 2. #14583342 | C2 | semidirect |
| 3. #14583337 | C2 | semidirect |
| 4. #14583331 | C2 | semidirect |
| 5. C2×M32×C43 | C2 | semidirect |
| 10. #13063347 | C22 | semidirect |
| 11. C2×Dic172 | C22 | semidirect |
| 13. C2×D344 | C22 | semidirect |
| 14. Dic344 | C22 | semidirect |
| 15. #13063270 | C22 | semidirect |
| 16. D688 | C22 | semidirect |
| 18. M32×C43 | C22 | semidirect |
| 19. C2×C16×C43 | C22 | semidirect |
| 76. C2×M32 | D43 | semidirect |
| 77. C43 | #3414 | semidirect |
| 90. M32 | C2×D43 | semidirect |
| 91. C2×C16 | C2×D43 | semidirect |