Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
548 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 145 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×#14273752 | C2 | semidirect |
| 2. C2×C4×D236 | C2 | semidirect |
| 3. #16837614 | C2 | semidirect |
| 4. #16837604 | C2 | semidirect |
| 5. #16837594 | C2 | semidirect |
| 6. #16837426 | C2 | semidirect |
| 7. #16837403 | C2 | semidirect |
| 8. C59×#532 | C2 | semidirect |
| 21. C4⋊(C59⋊C8) | C22 | semidirect |
| 22. C4⋊(C59⋊C8) | C22 | semidirect |
| 23. #14273651 | C22 | semidirect |
| 24. #14273648 | C22 | semidirect |
| 26. C4⋊Q8×C59 | C22 | semidirect |
| 27. #127×C59 | C22 | semidirect |
| 28. #124×C59 | C22 | semidirect |
| 49. C2×D236 | D4 | semidirect |
| 119. C4×C59 | AGL(1,ℤ/8) | semidirect |
| 131. #532 | D59 | semidirect |
| 138. C59 | #3036 | semidirect |
| 146. C4⋊Q8 | C2×D59 | semidirect |
| 147. #127 | C2×D59 | semidirect |
| 148. #124 | C2×D59 | semidirect |
| 250. C4 | #14273752 | semidirect |