Finite Group DatabasebetaFinite Group DatabasebetaOrder 6464.
170 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 50 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. D101⋊M16 | C2 | semidirect |
| 2. C2×C4×#87938 | C2 | semidirect |
| 3. #15692320 | C2 | semidirect |
| 4. #15692319 | C2 | semidirect |
| 7. #13108084 | C22 | semidirect |
| 11. C4×#87938 | C22 | semidirect |
| 14. #13108074 | C4 | semidirect |
| 17. Q8×D101 | C4 | semidirect |
| 19. D4×D101 | C4 | semidirect |
| 22. #41×C101 | C4 | semidirect |
| 27. Q8×C101 | C2×C4 | semidirect |
| 29. D4×C101 | C2×C4 | semidirect |
| 38. D404 | C2×C4 | semidirect |
| 47. Dic202 | C2×C4 | semidirect |
| 68. D101 | #104 | semidirect |
| 69. C101 | C2×#104 | semidirect |
| 81. #41 | #87938 | semidirect |
| 97. Q8 | C2×#87938 | semidirect |
| 104. D4 | C2×#87938 | semidirect |