Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
220 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 2. C2×#14273666 | C2 | semidirect |
| 3. #108×D59 | C2 | semidirect |
| 4. #16837210 | C2 | semidirect |
| 5. #16837209 | C2 | semidirect |
| 6. #16837208 | C2 | semidirect |
| 7. C59×#359 | C2 | semidirect |
| 21. C2×C59⋊C16 | C22 | semidirect |
| 22. #14273663 | C22 | semidirect |
| 25. C2×C16×C59 | C22 | semidirect |
| 26. #108×C59 | C22 | semidirect |
| 115. #359 | D59 | semidirect |
| 116. C59 | #2143 | semidirect |
| 132. C2×C16 | C2×D59 | semidirect |
| 135. #108 | C2×D59 | semidirect |