Finite Group DatabasebetaFinite Group DatabasebetaOrder 6464.
190 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 190 conjugacy classes of subgroups — too many to draw. Only its 55 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. C2×#13108057 | C2 | semidirect |
| 3. #15692213 | C2 | semidirect |
| 4. #15692177 | C2 | semidirect |
| 5. #15692176 | C2 | semidirect |
| 6. #15692175 | C2 | semidirect |
| 7. #102×C101 | C2 | semidirect |
| 12. D4×D101 | C4 | semidirect |
| 15. C2×#11717579 | C22 | semidirect |
| 16. C4⋊Dic101 | C22 | semidirect |
| 20. C2×C8×C101 | C22 | semidirect |
| 21. C4⋊C4×C101 | C22 | semidirect |
| 63. C101 | #418 | semidirect |
| 71. #102 | D101 | semidirect |
| 81. C2×C8 | C2×D101 | semidirect |
| 83. C4⋊C4 | C2×D101 | semidirect |