Finite Group DatabasebetaFinite Group DatabasebetaOrder 6592.
266 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 103 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×#13110106 | C2 | semidirect |
| 2. C2×#13110104 | C2 | semidirect |
| 3. #15693042 | C2 | direct (N × H) |
| 4. C2×#13110095 | C2 | semidirect |
| 5. C2×#13110094 | C2 | semidirect |
| 6. C2×#13110090 | C2 | semidirect |
| 7. C2×C8×D103 | C2 | semidirect |
| 8. C2×SD16×C103 | C2 | semidirect |
| 10. #13110106 | C22 | semidirect |
| 12. #13110104 | C22 | semidirect |
| 20. #13110095 | C22 | semidirect |
| 21. #13110094 | C22 | semidirect |
| 22. #13110090 | C22 | semidirect |
| 24. C8×D103 | C22 | semidirect |
| 27. SD16×C103 | C22 | semidirect |
| 65. C2×C103 | #135 | semidirect |
| 69. C103 | C2×#135 | semidirect |
| 76. C2×SD16 | D103 | semidirect |
| 94. SD16 | C2×D103 | semidirect |
| 137. C2 | #15693042 | direct (N × H) |