Finite Group DatabasebetaFinite Group DatabasebetaOrder 6592.
146 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 39 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. #15693068 | C2 | semidirect |
| 2. #15693047 | C2 | semidirect |
| 3. #15693008 | C2 | semidirect |
| 4. #15692948 | C2 | semidirect |
| 5. #15692947 | C2 | semidirect |
| 6. #15692939 | C2 | semidirect |
| 7. AGL(1,ℤ/8)×C103 | C2 | semidirect |
| 63. C103 | #454 | semidirect |
| 67. AGL(1,ℤ/8) | D103 | semidirect |