Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
312 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 312 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. #16840779 | C2 | semidirect |
| 2. #16840765 | C2 | semidirect |
| 3. D4⋊#92420 | C2 | semidirect |
| 8. C4⋊#92420 | C22 | semidirect |
| 10. C4×#92420 | C22 | semidirect |
| 50. D4×C61 | M16 | semidirect |
| 94. C61 | #1486 | semidirect |
| 140. D4 | #11758217 | semidirect |