Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
468 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 468 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×#14273758 | C2 | semidirect |
| 3. C22×#11745671 | C2 | semidirect |
| 4. C2×#14273735 | C2 | semidirect |
| 5. #16837668 | C2 | direct (N × H) |
| 6. C2×#14273662 | C2 | semidirect |
| 7. C2×#14273643 | C2 | semidirect |
| 8. C2×#101×C59 | C2 | semidirect |
| 12. #14273758 | C22 | semidirect |
| 21. C2×#11745671 | C22 | semidirect |
| 24. #14273735 | C22 | semidirect |
| 29. #14273662 | C22 | semidirect |
| 30. #14273643 | C22 | semidirect |
| 34. #101×C59 | C22 | semidirect |
| 135. C2×C59 | #471 | semidirect |
| 145. C2×#101 | D59 | semidirect |
| 147. C59 | C2×#471 | semidirect |
| 172. #101 | C2×D59 | semidirect |
| 275. C2 | #16837668 | direct (N × H) |