Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
276 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 82 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. #16840781 | C2 | semidirect |
| 2. C4×D61⋊C8 | C2 | semidirect |
| 3. #16840612 | C2 | semidirect |
| 4. D4⋊#92420 | C2 | semidirect |
| 29. #11758224 | C8 | semidirect |
| 54. D4×C61 | C2×C8 | semidirect |
| 73. Dic122 | C2×C8 | semidirect |
| 104. C61 | #1476 | semidirect |
| 156. D4 | D61⋊C8 | semidirect |