Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
992 conjugacy classes of subgroups; only the 210 normal subgroups are shown.
This group has 992 conjugacy classes of subgroups — too many to draw. Only its 210 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×D61⋊M16 | C2 | semidirect |
| 2. D61⋊#100 | C2 | direct (N × H) |
| 3. C2×#14519837 | C2 | semidirect |
| 7. D61⋊M16 | C22 | semidirect |
| 8. C2×#11758217 | C22 | semidirect |
| 10. #14519837 | C22 | semidirect |
| 51. #11758217 | C23 | semidirect |
| 108. C2×D61 | #100 | semidirect |
| 118. C2×C61 | C2×#100 | semidirect |
| 122. D61 | C2×#100 | semidirect |
| 127. C61 | C22×#100 | semidirect |
| 243. C2 | D61⋊#100 | direct (N × H) |