Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
376 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 78 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×#14519845 | C2 | semidirect |
| 2. C2×#14519839 | C2 | semidirect |
| 3. C2×#14519831 | C2 | semidirect |
| 4. #16840714 | C2 | semidirect |
| 14. C2×D488 | C4 | semidirect |
| 15. C2×#11758199 | C4 | semidirect |
| 19. C2×D8×C61 | C4 | semidirect |
| 70. C8×C61 | C22⋊C4 | semidirect |
| 71. #92418 | C22⋊C4 | semidirect |
| 101. C61 | #1972 | semidirect |
| 107. C2×D8 | #6923 | semidirect |
| 167. C8 | C22⋊#6923 | semidirect |