Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
148 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 148 conjugacy classes of subgroups — too many to draw. Only its 43 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. C2×#14519718 | C2 | semidirect |
| 2. #16840180 | C2 | semidirect |
| 3. #16840033 | C2 | semidirect |
| 4. #16840029 | C2 | semidirect |
| 5. #16839591 | C2 | semidirect |
| 6. #16839576 | C2 | semidirect |
| 7. C61×#361 | C2 | semidirect |
| 80. #361 | D61 | semidirect |
| 81. C61 | #2221 | semidirect |