Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
608 conjugacy classes of subgroups; only the 237 normal subgroups are shown.
This group has 608 conjugacy classes of subgroups — too many to draw. Only its 237 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×D4×Dic59 | C2 | semidirect |
| 2. #16837514 | C2 | direct (N × H) |
| 3. C2×#14273659 | C2 | semidirect |
| 4. C2×#14273648 | C2 | semidirect |
| 5. C2×#14273637 | C2 | semidirect |
| 10. D4×Dic59 | C22 | semidirect |
| 14. #14273659 | C22 | semidirect |
| 15. #14273648 | C22 | semidirect |
| 16. #14273637 | C22 | semidirect |
| 18. C2×D8×C59 | C4 | semidirect |
| 24. C2×D4×C59 | C2×C4 | semidirect |
| 31. D8×C59 | C2×C4 | semidirect |
| 32. C2×C8×C59 | C2×C4 | semidirect |
| 48. D4×C59 | C22×C4 | semidirect |
| 58. C8×C59 | C22×C4 | semidirect |
| 74. C2×C59 | #442 | semidirect |
| 83. C59 | C2×#442 | semidirect |
| 86. C2×D8 | Dic59 | semidirect |
| 101. C2×D4 | C2×Dic59 | semidirect |
| 108. D8 | C2×Dic59 | semidirect |
| 111. C2×C8 | C2×Dic59 | semidirect |
| 125. D4 | C22×Dic59 | semidirect |
| 136. C8 | C22×Dic59 | semidirect |
| 150. C2 | #16837514 | direct (N × H) |