Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
384 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 384 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. C2×#14519846 | C2 | semidirect |
| 2. C2×#14519839 | C2 | semidirect |
| 3. C2×C8×#6923 | C2 | semidirect |
| 4. #16840714 | C2 | semidirect |
| 14. C2×D488 | C4 | semidirect |
| 15. C2×#11758199 | C4 | semidirect |
| 19. C2×D8×C61 | C4 | semidirect |
| 57. C2×#6923 | D8 | semidirect |
| 71. C8×C61 | C22⋊C4 | semidirect |
| 72. #92418 | C22⋊C4 | semidirect |
| 104. C61 | #1970 | semidirect |
| 110. C2×D8 | #6923 | semidirect |
| 171. C8 | C22⋊#6923 | semidirect |