Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
340 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 340 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×#14519846 | C2 | semidirect |
| 2. C2×#14519840 | C2 | semidirect |
| 4. C2×#14519831 | C2 | semidirect |
| 5. (C2×#6923)⋊Q8 | C2 | semidirect |
| 20. C2×#11758190 | C4 | semidirect |
| 21. C2×#11758200 | C4 | semidirect |
| 22. C2×#11758201 | C4 | semidirect |
| 26. C2×SD16×C61 | C4 | semidirect |
| 102. C8×C61 | C22⋊C4 | semidirect |
| 103. #92418 | C22⋊C4 | semidirect |
| 140. C61 | #1973 | semidirect |
| 148. C2×SD16 | #6923 | semidirect |
| 236. C8 | C22⋊#6923 | semidirect |