Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
736 conjugacy classes of subgroups; only the 218 normal subgroups are shown.
This group has 736 conjugacy classes of subgroups — too many to draw. Only its 218 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. C2×#14519838 | C2 | direct (N × H) |
| 7. #14519838 | C22 | direct (N × H) |
| 56. C22×C61 | #101 | semidirect |
| 67. C2×C61 | C2×#101 | semidirect |
| 72. C61 | C22×#101 | semidirect |
| 125. C22 | #14519838 | direct (N × H) |
| 135. C2 | C2×#14519838 | direct (N × H) |