Finite Group DatabasebetaFinite Group DatabasebetaOrder 6464.
140 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 140 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×#13108059 | C2 | semidirect |
| 2. #15692251 | C2 | semidirect |
| 3. D4×Dic101 | C2 | semidirect |
| 4. #15692184 | C2 | semidirect |
| 5. #15692177 | C2 | semidirect |
| 6. #15692176 | C2 | semidirect |
| 7. C2×D8×C101 | C2 | semidirect |
| 27. D4×C101 | D4 | semidirect |
| 53. Dic101 | D8 | semidirect |
| 60. C101 | #459 | semidirect |
| 63. C2×D8 | D101 | semidirect |
| 92. D4 | C22⋊D101 | semidirect |