Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
174 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 51 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×D976 | C2 | semidirect |
| 2. C2×C16×D61 | C2 | semidirect |
| 3. #16839999 | C2 | semidirect |
| 4. #16839562 | C2 | semidirect |
| 5. C61×#366 | C2 | semidirect |
| 26. C16×C61 | D4 | semidirect |
| 47. C2×D61 | D16 | semidirect |
| 61. #366 | D61 | semidirect |
| 63. C61 | #2215 | semidirect |
| 85. C16 | D244 | semidirect |