Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
442 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 87 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×C42×D61 | C2 | semidirect |
| 3. C2×#14519704 | C2 | semidirect |
| 4. #16839725 | C2 | semidirect |
| 5. #16839523 | C2 | semidirect |
| 6. #16839522 | C2 | semidirect |
| 7. C2×#104×C61 | C2 | semidirect |
| 12. #14519753 | C4 | semidirect |
| 13. #14519748 | C4 | semidirect |
| 32. C2×Q8×C61 | C2×C4 | semidirect |
| 34. C2×D4×C61 | C2×C4 | semidirect |
| 53. C42×C61 | D4 | semidirect |
| 57. C4⋊Dic61 | C2×C4 | semidirect |
| 62. C4×Dic61 | D4 | semidirect |
| 113. C2×D61 | #104 | semidirect |
| 133. C2×#104 | D61 | semidirect |
| 137. C61 | #1896 | semidirect |
| 162. C2×Q8 | C4×D61 | semidirect |
| 165. C2×D4 | C4×D61 | semidirect |
| 195. C42 | C22⋊D61 | semidirect |