Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
772 conjugacy classes of subgroups; only the 202 normal subgroups are shown.
This group has 772 conjugacy classes of subgroups — too many to draw. Only its 202 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. C2×#14519856 | C2 | semidirect |
| 3. #16840761 | C2 | direct (N × H) |
| 4. C2×#14519842 | C2 | semidirect |
| 6. C2×#11758213 | C22 | semidirect |
| 8. D61⋊M16 | C22 | semidirect |
| 12. #14519856 | C22 | semidirect |
| 15. C2×C4×#6923 | C22 | semidirect |
| 16. #14519842 | C22 | semidirect |
| 21. C2×#11758226 | C4 | semidirect |
| 22. C2×#11758226 | C4 | semidirect |
| 26. C22×D244 | C4 | semidirect |
| 29. C22×Q8×C61 | C4 | semidirect |
| 36. C2×Q8×C61 | C2×C4 | semidirect |
| 48. #11758226 | C2×C4 | semidirect |
| 57. C2×D244 | C2×C4 | semidirect |
| 75. C4×#6923 | C23 | semidirect |
| 77. #11758213 | C23 | semidirect |
| 146. C2×C61 | #421 | semidirect |
| 157. C61 | C2×#421 | semidirect |
| 166. C22×Q8 | #6923 | semidirect |
| 197. C2×Q8 | C2×#6923 | semidirect |
| 301. C2 | #16840761 | direct (N × H) |