Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
384 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 107 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×#14519710 | C2 | semidirect |
| 3. C2×#14519698 | C2 | semidirect |
| 4. C2×#14519697 | C2 | semidirect |
| 5. C2×C4×#92418 | C2 | semidirect |
| 6. #16839664 | C2 | semidirect |
| 7. C61×#390 | C2 | semidirect |
| 11. C2×#11758199 | C4 | semidirect |
| 76. C2×C4×C61 | D8 | semidirect |
| 90. #92418 | C22⋊C4 | semidirect |
| 127. #390 | D61 | semidirect |
| 128. C61 | #1970 | semidirect |
| 203. C2×C4 | #11758199 | semidirect |