Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
180 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 74 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. Q8×#92420 | C2 | semidirect |
| 3. #16840623 | C2 | semidirect |
| 4. Q8⋊#92420 | C2 | semidirect |
| 6. C8×#92420 | C2 | semidirect |
| 32. SD16×C61 | C8 | semidirect |
| 43. Q8×C61 | C2×C8 | semidirect |
| 58. #92420 | SD16 | direct (N × H) |
| 59. C8×C61 | C2×C8 | semidirect |
| 85. C61 | C8×SD16 | semidirect |
| 104. SD16 | #92420 | direct (N × H) |
| 121. Q8 | C2×#92420 | semidirect |
| 138. C8 | C2×#92420 | semidirect |