Finite Group DatabasebetaFinite Group DatabasebetaOrder 6464.
144 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 43 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. C2×#13108061 | C2 | semidirect |
| 2. C2×D808 | C2 | semidirect |
| 3. C2×#13108059 | C2 | semidirect |
| 4. #15692251 | C2 | semidirect |
| 5. #15692244 | C2 | semidirect |
| 6. #15692165 | C2 | semidirect |
| 7. C2×SD16×C101 | C2 | semidirect |
| 36. C8×C101 | D4 | semidirect |
| 37. #11717579 | D4 | semidirect |
| 54. C101 | #496 | semidirect |
| 57. C2×SD16 | D101 | semidirect |
| 92. C8 | C22⋊D101 | semidirect |