Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
482 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14273750 | C2 | semidirect |
| 2. #16838063 | C2 | semidirect |
| 3. #16837787 | C2 | semidirect |
| 4. #16837640 | C2 | semidirect |
| 5. #16837638 | C2 | semidirect |
| 6. #16837626 | C2 | semidirect |
| 7. #16837563 | C2 | semidirect |
| 8. #16837541 | C2 | semidirect |
| 9. Q16×Dic59 | C2 | semidirect |
| 10. C8×C22⋊D59 | C2 | semidirect |
| 11. C22×Q16×C59 | C2 | semidirect |
| 58. Q16×C59 | D4 | semidirect |
| 113. C22×C59 | #135 | semidirect |
| 138. C22×Q16 | D59 | semidirect |
| 148. C59 | #3285 | semidirect |
| 195. Q16 | C22⋊D59 | semidirect |
| 256. C22 | #14273750 | semidirect |