Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
448 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 149 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. C22×Dic236 | C2 | semidirect |
| 3. #16837677 | C2 | direct (N × H) |
| 4. C2×#14273663 | C2 | semidirect |
| 5. C2×#14273645 | C2 | semidirect |
| 13. C2×Dic236 | C22 | semidirect |
| 17. #14273663 | C22 | semidirect |
| 18. #14273645 | C22 | semidirect |
| 102. C2×C59 | #473 | semidirect |
| 110. C59 | C2×#473 | semidirect |
| 205. C2 | #16837677 | direct (N × H) |