Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
340 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 79 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. #16840528 | C2 | semidirect |
| 3. #16839744 | C2 | semidirect |
| 4. C2×#14519694 | C2 | semidirect |
| 5. #16839534 | C2 | semidirect |
| 6. #16839533 | C2 | semidirect |
| 7. C2×#100×C61 | C2 | semidirect |
| 46. M16×C61 | D4 | semidirect |
| 56. #11758194 | D4 | semidirect |
| 119. C2×#100 | D61 | semidirect |
| 122. C61 | #1914 | semidirect |
| 166. M16 | C22⋊D61 | semidirect |