Finite Group DatabasebetaFinite Group DatabasebetaOrder 6592.
144 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 43 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×#13110092 | C2 | semidirect |
| 2. C2×D824 | C2 | semidirect |
| 3. C2×#13110090 | C2 | semidirect |
| 4. #15693017 | C2 | semidirect |
| 5. #15693010 | C2 | semidirect |
| 6. #15692931 | C2 | semidirect |
| 7. C2×SD16×C103 | C2 | semidirect |
| 36. C8×C103 | D4 | semidirect |
| 37. C103⋊C8 | D4 | semidirect |
| 54. C103 | #496 | semidirect |
| 57. C2×SD16 | D103 | semidirect |
| 92. C8 | C22⋊D103 | semidirect |