Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
468 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14273758 | C2 | semidirect |
| 3. C2×#14273733 | C2 | semidirect |
| 4. #16837662 | C2 | direct (N × H) |
| 5. C2×#14273663 | C2 | semidirect |
| 6. C2×#14273646 | C2 | semidirect |
| 7. C2×#14273644 | C2 | semidirect |
| 8. C22×SD16×C59 | C2 | semidirect |
| 11. #14273758 | C22 | semidirect |
| 19. #14273733 | C22 | semidirect |
| 25. #14273663 | C22 | semidirect |
| 26. #14273646 | C22 | semidirect |
| 27. #14273644 | C22 | semidirect |
| 33. C2×SD16×C59 | C22 | semidirect |
| 136. C2×C59 | #471 | semidirect |
| 141. C22×SD16 | D59 | semidirect |
| 147. C59 | C2×#471 | semidirect |
| 161. C2×SD16 | C2×D59 | semidirect |
| 275. C2 | #16837662 | direct (N × H) |