Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
500 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 500 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. C22×#11745659 | C2 | semidirect |
| 2. #16837909 | C2 | semidirect |
| 3. #16837657 | C2 | semidirect |
| 4. #16837652 | C2 | semidirect |
| 5. #16837645 | C2 | semidirect |
| 6. #16837440 | C2 | semidirect |
| 7. #16837398 | C2 | semidirect |
| 8. C2×#135×C59 | C2 | semidirect |
| 20. #14273661 | C22 | semidirect |
| 21. #14273659 | C22 | semidirect |
| 22. #14273651 | C22 | semidirect |
| 23. #14273648 | C22 | semidirect |
| 26. C2×Q16×C59 | C22 | semidirect |
| 27. C2×SD16×C59 | C22 | semidirect |
| 28. C2×D8×C59 | C22 | semidirect |
| 47. C2×C8×C59 | D4 | semidirect |
| 106. C2×#135 | D59 | semidirect |
| 114. C59 | #3054 | semidirect |
| 118. C2×Q16 | C2×D59 | semidirect |
| 119. C2×SD16 | C2×D59 | semidirect |
| 120. C2×D8 | C2×D59 | semidirect |
| 157. C2×C8 | C22⋊D59 | semidirect |