Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
474 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 95 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. C22×#11758201 | C2 | semidirect |
| 3. C2×#14519699 | C2 | semidirect |
| 4. C2×#14519698 | C2 | semidirect |
| 5. #16839669 | C2 | semidirect |
| 6. #16839516 | C2 | semidirect |
| 7. C22×SD16×C61 | C2 | semidirect |
| 34. C2×Q8×C61 | D4 | semidirect |
| 57. C2×C8×C61 | D4 | semidirect |
| 65. C2×#92418 | D4 | semidirect |
| 99. C2×Dic61 | SD16 | semidirect |
| 137. C22×SD16 | D61 | semidirect |
| 143. C61 | #2014 | semidirect |
| 170. C2×Q8 | C22⋊D61 | semidirect |
| 197. C2×C8 | C22⋊D61 | semidirect |