Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
370 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 93 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×#14519704 | C2 | semidirect |
| 3. #16839766 | C2 | semidirect |
| 4. #16839663 | C2 | semidirect |
| 5. #16839531 | C2 | semidirect |
| 6. #16839521 | C2 | semidirect |
| 7. C61×#520 | C2 | semidirect |
| 10. #14519802 | C4 | semidirect |
| 46. C2×D244 | C2×C4 | semidirect |
| 64. #11758194 | C2×C4 | semidirect |
| 75. Q8×C61 | C22⋊C4 | semidirect |
| 79. D4×C61 | C22⋊C4 | semidirect |
| 134. #520 | D61 | semidirect |
| 140. C61 | #1883 | semidirect |
| 208. Q8 | #11758198 | semidirect |
| 216. D4 | #11758198 | semidirect |