Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
406 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 73 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×#14519805 | C2 | semidirect |
| 2. C2×#14519802 | C2 | semidirect |
| 3. #16840340 | C2 | semidirect |
| 4. C2×#14519705 | C2 | semidirect |
| 5. #16839664 | C2 | semidirect |
| 6. #16839530 | C2 | semidirect |
| 7. C2×#104×C61 | C2 | semidirect |
| 55. C2×D244 | D4 | semidirect |
| 59. M16×C61 | D4 | semidirect |
| 72. #11758194 | D4 | semidirect |
| 157. C2×#104 | D61 | semidirect |
| 160. C61 | #2006 | semidirect |
| 218. M16 | C22⋊D61 | semidirect |