Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
426 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 426 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 |
|---|---|---|
| 1. #16840434 | C2 | semidirect |
| 2. Q8×D244 | C2 | semidirect |
| 3. #16840109 | C2 | semidirect |
| 4. #16840043 | C2 | semidirect |
| 5. #16839958 | C2 | semidirect |
| 6. C4×D488 | C2 | semidirect |
| 7. C8×Q8×C61 | C2 | semidirect |
| 46. Q8×C61 | D8 | semidirect |
| 57. D244 | #41 | semidirect |
| 87. C8×Q8 | D61 | semidirect |
| 89. C61 | #3358 | semidirect |
| 129. Q8 | D488 | semidirect |