Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
572 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 173 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×#14519799 | C2 | semidirect |
| 2. #16840312 | C2 | semidirect |
| 3. #16840146 | C2 | semidirect |
| 4. #16840142 | C2 | semidirect |
| 5. #16840139 | C2 | semidirect |
| 6. #16840135 | C2 | semidirect |
| 7. C2×C4×C8×C61 | C2 | semidirect |
| 31. C2×C8×C61 | D4 | semidirect |
| 65. C4×C61 | #135 | semidirect |
| 79. C2×C4×C8 | D61 | semidirect |
| 80. C61 | #3147 | semidirect |
| 107. C2×C8 | D244 | semidirect |
| 139. C4 | #14519799 | semidirect |