Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
292 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 3. #16837360 | C2 | semidirect |
| 4. C2×#14273638 | C2 | semidirect |
| 5. #16837166 | C2 | semidirect |
| 6. #16837162 | C2 | semidirect |
| 9. #14273734 | C4 | semidirect |
| 16. #14273651 | C4 | semidirect |
| 17. #14273648 | C4 | semidirect |
| 24. #104×C59 | C4 | semidirect |
| 106. C59 | #1765 | semidirect |
| 118. #104 | Dic59 | semidirect |