Finite Group DatabasebetaFinite Group DatabasebetaOrder 6464.
162 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 162 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. #15692318 | C2 | semidirect |
| 4. #15692317 | C2 | semidirect |
| 12. #13108075 | C4 | semidirect |
| 14. #13108074 | C4 | semidirect |
| 16. #13108073 | 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 |
| 72. C101 | #417 | semidirect |
| 84. #41 | #87938 | semidirect |
| 100. Q8 | C2×#87938 | semidirect |
| 107. D4 | C2×#87938 | semidirect |