Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
612 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 86 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×#14519835 | C2 | semidirect |
| 2. #16840705 | C2 | semidirect |
| 9. C22×Dic122 | C4 | semidirect |
| 11. C23×Dic61 | C4 | semidirect |
| 13. C22×D4×C61 | C4 | semidirect |
| 79. C61 | #1782 | semidirect |
| 84. C22×D4 | #6923 | semidirect |