Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
484 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#14524065 | C2 | semidirect |
| 2. C2×#14524049 | C2 | semidirect |
| 3. #16863977 | C2 | semidirect |
| 4. #16863643 | C2 | semidirect |
| 5. #16863638 | C2 | semidirect |
| 6. #16863633 | C2 | semidirect |
| 7. #16863395 | C2 | semidirect |
| 8. C2×#107×C67 | C2 | semidirect |
| 55. C2×C8×C67 | D4 | semidirect |
| 109. C67 | #3061 | semidirect |
| 116. C2×#107 | D67 | semidirect |
| 161. C2×C8 | D268 | semidirect |