Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
174 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 174 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. D8×#6923 | C2 | semidirect |
| 2. #16840688 | C2 | semidirect |
| 3. #16840674 | C2 | semidirect |
| 4. C16×#6923 | C2 | semidirect |
| 12. D976 | C4 | semidirect |
| 13. #14519718 | C4 | semidirect |
| 15. D16×C61 | C4 | semidirect |
| 22. D8×C61 | C2×C4 | semidirect |
| 24. D488 | C2×C4 | semidirect |
| 27. C16×C61 | C2×C4 | semidirect |
| 28. #11758185 | C2×C4 | semidirect |
| 48. #6923 | D16 | direct (N × H) |
| 62. C61 | C4×D16 | semidirect |
| 67. D16 | #6923 | direct (N × H) |
| 77. D8 | C2×#6923 | semidirect |
| 85. C16 | C2×#6923 | semidirect |