Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
356 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 139 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 |
|---|---|---|
| 2. #16840165 | C2 | semidirect |
| 3. #16840097 | C2 | semidirect |
| 4. #16840095 | C2 | semidirect |
| 5. #16840057 | C2 | semidirect |
| 6. #16840054 | C2 | semidirect |
| 7. #16840001 | C2 | semidirect |
| 8. C4×#11758202 | C2 | semidirect |
| 10. C2×#14519710 | C2 | semidirect |
| 77. D4×C61 | Q16 | semidirect |
| 129. C61 | #3338 | semidirect |
| 198. D4 | #11758202 | semidirect |