Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
482 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 131 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×Q16×D59 | C2 | semidirect |
| 2. #16838059 | C2 | semidirect |
| 3. #16837785 | C2 | semidirect |
| 4. #16837643 | C2 | semidirect |
| 5. #16837635 | C2 | semidirect |
| 6. #16837622 | C2 | semidirect |
| 7. #16837564 | C2 | semidirect |
| 8. #16837539 | C2 | semidirect |
| 9. Q16×Dic59 | C2 | semidirect |
| 10. C8×C22⋊D59 | C2 | semidirect |
| 11. C2×#135×C59 | C2 | semidirect |
| 56. Q16×C59 | D4 | semidirect |
| 120. C2×D59 | #135 | semidirect |
| 137. C2×#135 | D59 | semidirect |
| 148. C59 | #3285 | semidirect |
| 195. Q16 | C22⋊D59 | semidirect |