Finite Group DatabasebetaFinite Group DatabasebetaOrder 6592.
170 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 53 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 |
|---|---|---|
| 2. M16×D103 | C2 | semidirect |
| 3. C42×D103 | C2 | semidirect |
| 4. #15692949 | C2 | semidirect |
| 5. #15692948 | C2 | semidirect |
| 6. #15692947 | C2 | semidirect |
| 7. #104×C103 | C2 | semidirect |
| 8. #13110106 | C4 | semidirect |
| 12. #13110104 | C4 | semidirect |
| 13. Q8×D103 | C4 | semidirect |
| 15. D4×D103 | C4 | semidirect |
| 19. #13110089 | C22 | semidirect |
| 23. C4×Dic103 | C22 | semidirect |
| 25. M16×C103 | C22 | semidirect |
| 26. C42×C103 | C22 | semidirect |
| 29. Q8×C103 | C2×C4 | semidirect |
| 31. D4×C103 | C2×C4 | semidirect |
| 42. D412 | C2×C4 | semidirect |
| 52. Dic206 | C2×C4 | semidirect |
| 75. D103 | #104 | direct (N × H) |
| 76. C103 | C2×#104 | semidirect |
| 84. #104 | D103 | direct (N × H) |
| 99. M16 | C2×D103 | semidirect |
| 103. C42 | C2×D103 | semidirect |
| 108. Q8 | C4×D103 | semidirect |
| 115. D4 | C4×D103 | semidirect |