Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
336 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 336 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 |
|---|---|---|
| 3. #16840616 | C2 | direct (N × H) |
| 14. #14519753 | C4 | semidirect |
| 16. C2×C4⋊Dic61 | C4 | semidirect |
| 19. C22×Q8×C61 | C4 | semidirect |
| 27. C2×Q8×C61 | C2×C4 | semidirect |
| 42. C4⋊Dic61 | C2×C4 | semidirect |
| 94. C2×C61 | #328 | semidirect |
| 105. C61 | C2×#328 | semidirect |
| 106. C22×Q8 | #6923 | semidirect |
| 124. C2×Q8 | C2×#6923 | semidirect |
| 197. C2 | #16840616 | direct (N × H) |