Finite Group DatabasebetaFinite Group DatabasebetaOrder 6464.
210 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 210 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. C22⋊C4×D101 | C2 | semidirect |
| 3. #15692170 | C2 | semidirect |
| 4. #15692169 | C2 | semidirect |
| 5. #99×C101 | C2 | semidirect |
| 6. C23×D101 | C4 | semidirect |
| 8. C2×D404 | C4 | semidirect |
| 9. C2×C22⋊D101 | C4 | semidirect |
| 14. C2×C4×D101 | C4 | semidirect |
| 15. C22⋊Dic101 | C22 | semidirect |
| 18. C22⋊C4×C101 | C22 | semidirect |
| 19. C23×C101 | C2×C4 | semidirect |
| 27. C22×D101 | C2×C4 | semidirect |
| 32. C2×C4×C101 | C2×C4 | semidirect |
| 36. C2×Dic101 | C2×C4 | semidirect |
| 68. D101 | #99 | direct (N × H) |
| 69. C101 | C2×#99 | semidirect |
| 75. #99 | D101 | direct (N × H) |
| 88. C22⋊C4 | C2×D101 | semidirect |
| 98. C23 | C4×D101 | semidirect |
| 110. C2×C4 | C4×D101 | semidirect |