Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
572 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14273752 | C2 | semidirect |
| 3. C2×#14273715 | C2 | semidirect |
| 4. #16837794 | C2 | semidirect |
| 5. #16837789 | C2 | semidirect |
| 6. #16837784 | C2 | semidirect |
| 7. C4×#11745664 | C2 | semidirect |
| 8. C59×#532 | C2 | semidirect |
| 13. C2×#11745672 | C22 | semidirect |
| 14. C2×#11745670 | C22 | semidirect |
| 22. #14273638 | C22 | semidirect |
| 23. C4×C59⋊C8 | C22 | semidirect |
| 25. C4⋊Q8×C59 | C22 | semidirect |
| 26. #127×C59 | C22 | semidirect |
| 27. #124×C59 | C22 | semidirect |
| 59. #11745664 | D4 | semidirect |
| 109. #532 | D59 | semidirect |
| 115. C59 | #3153 | semidirect |
| 126. C4⋊Q8 | C2×D59 | semidirect |
| 127. #127 | C2×D59 | semidirect |
| 131. #124 | C2×D59 | semidirect |