Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
148 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 148 conjugacy classes of subgroups — too many to draw. Only its 45 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. #16840178 | C2 | semidirect |
| 2. #16840029 | C2 | semidirect |
| 3. #16839592 | C2 | semidirect |
| 4. #16839575 | C2 | semidirect |
| 5. C2×D16×C61 | C2 | semidirect |
| 55. C2×D16 | D61 | semidirect |
| 60. C61 | #2221 | semidirect |