Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
500 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 157 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. C2×Q8×Dic59 | C2 | semidirect |
| 4. #16837626 | C2 | direct (N × H) |
| 5. C2×Dic59⋊C8 | C2 | semidirect |
| 6. C2×#14273651 | C2 | semidirect |
| 8. C22×Q16×C59 | C2 | semidirect |
| 16. Q8×Dic59 | C22 | semidirect |
| 23. Dic59⋊C8 | C22 | semidirect |
| 24. #14273651 | C22 | semidirect |
| 29. C2×Q16×C59 | C22 | semidirect |
| 111. C2×C59 | #464 | semidirect |
| 116. C22×Q16 | D59 | semidirect |
| 124. C59 | C2×#464 | semidirect |
| 129. C2×Q16 | C2×D59 | semidirect |
| 227. C2 | #16837626 | direct (N × H) |