Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
456 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 160 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 |
|---|---|---|
| 2. #16840802 | C2 | semidirect |
| 3. Q16×#6923 | C2 | semidirect |
| 20. C2×Dic244 | C4 | semidirect |
| 21. C2×#11758202 | C4 | semidirect |
| 22. Q16×D61 | C4 | semidirect |
| 23. Q16×D61 | C4 | semidirect |
| 27. C2×Q16×C61 | C4 | semidirect |
| 108. C61 | #2950 | semidirect |
| 116. C2×Q16 | #6923 | semidirect |