Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
416 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 416 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 |
|---|---|---|
| 3. #16837744 | C2 | direct (N × H) |
| 4. C2×#14273661 | C2 | semidirect |
| 5. C2×#14273659 | C2 | semidirect |
| 6. C2×#14273652 | C2 | semidirect |
| 7. C2×#14273652 | C2 | semidirect |
| 21. #14273661 | C22 | semidirect |
| 22. #14273659 | C22 | semidirect |
| 23. #14273652 | C22 | semidirect |
| 24. #14273652 | C22 | semidirect |
| 103. C2×C59 | #485 | semidirect |
| 115. C59 | C2×#485 | semidirect |
| 209. C2 | #16837744 | direct (N × H) |