Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
174 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 67 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. D8×Dic59 | C2 | semidirect |
| 2. #16837228 | C2 | semidirect |
| 3. #16837203 | C2 | semidirect |
| 4. C16×Dic59 | C2 | semidirect |
| 12. D16×C59 | C4 | semidirect |
| 17. D8×C59 | C2×C4 | semidirect |
| 23. C16×C59 | C2×C4 | semidirect |
| 44. Dic59 | D16 | direct (N × H) |
| 55. C59 | C4×D16 | semidirect |
| 58. D16 | Dic59 | direct (N × H) |
| 67. D8 | C2×Dic59 | semidirect |
| 74. C16 | C2×Dic59 | semidirect |