Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
460 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 460 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. #16840138 | C2 | semidirect |
| 3. #16839957 | C2 | semidirect |
| 4. #16839954 | C2 | semidirect |
| 5. Q8×#92418 | C2 | semidirect |
| 6. C4×#11758199 | C2 | semidirect |
| 7. C61×#550 | C2 | semidirect |
| 47. Q8×C61 | D8 | semidirect |
| 64. #92418 | #41 | semidirect |
| 85. #550 | D61 | semidirect |
| 91. C61 | #3391 | semidirect |
| 131. Q8 | #11758199 | semidirect |