Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
352 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 352 conjugacy classes of subgroups — too many to draw. Only its 133 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. #16840472 | C2 | semidirect |
| 2. #16840167 | C2 | semidirect |
| 3. #16840164 | C2 | semidirect |
| 4. #16840063 | C2 | semidirect |
| 5. #16840053 | C2 | semidirect |
| 8. C8×Q8×C61 | C2 | semidirect |
| 47. D488 | Q8 | semidirect |
| 87. C8×Q8 | D61 | semidirect |
| 90. C61 | #3380 | semidirect |