Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
182 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 58 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. #16840797 | C2 | semidirect |
| 2. D4×#92420 | C2 | semidirect |
| 3. #16840626 | C2 | semidirect |
| 4. D4⋊#92420 | C2 | semidirect |
| 5. D4⋊#92420 | C2 | semidirect |
| 6. #92420⋊C8 | C2 | semidirect |
| 47. D4×C61 | M16 | semidirect |
| 61. #92420 | D8 | semidirect |
| 91. C61 | #1581 | semidirect |
| 131. D4 | #11758217 | semidirect |