Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
754 conjugacy classes of subgroups; only the 169 normal subgroups are shown.
This group has 754 conjugacy classes of subgroups — too many to draw. Only its 169 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×#14273757 | C2 | semidirect |
| 2. C2×#14273706 | C2 | semidirect |
| 3. #16837564 | C2 | semidirect |
| 4. #16837558 | C2 | semidirect |
| 5. #16837553 | C2 | semidirect |
| 6. #16837403 | C2 | semidirect |
| 7. #16837366 | C2 | semidirect |
| 9. C22×Dic118 | C22 | semidirect |
| 11. C2×#11745672 | C22 | semidirect |
| 12. C2×#11745670 | C22 | semidirect |
| 13. C2×#11745664 | C22 | semidirect |
| 17. #14273706 | C22 | semidirect |
| 18. C2×C4⋊Dic59 | C22 | semidirect |
| 21. #14273651 | C22 | semidirect |
| 22. #14273648 | C22 | semidirect |
| 24. C22⋊(C59⋊C8) | C22 | semidirect |
| 130. C22×C59 | #137 | semidirect |
| 155. C59 | #3007 | semidirect |
| 277. C22 | #14273757 | semidirect |