Finite Group DatabasebetaFinite Group DatabasebetaOrder 6592.
266 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 111 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×#13110105 | C2 | semidirect |
| 2. #15693041 | C2 | direct (N × H) |
| 3. C2×#13110095 | C2 | semidirect |
| 4. C2×#13110093 | C2 | semidirect |
| 5. C2×#13110092 | C2 | semidirect |
| 6. C2×#13110090 | C2 | semidirect |
| 7. C22×C103⋊C8 | C2 | semidirect |
| 8. C2×#41×C103 | C2 | semidirect |
| 10. #13110105 | C22 | semidirect |
| 15. #13110095 | C22 | semidirect |
| 16. #13110093 | C22 | semidirect |
| 17. #13110092 | C22 | semidirect |
| 18. #13110090 | C22 | semidirect |
| 21. C2×C103⋊C8 | C22 | semidirect |
| 23. #41×C103 | C22 | semidirect |
| 66. C2×C103 | #135 | semidirect |
| 69. C103 | C2×#135 | semidirect |
| 72. C2×#41 | D103 | semidirect |
| 82. #41 | C2×D103 | semidirect |
| 137. C2 | #15693041 | direct (N × H) |