Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
226 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 226 conjugacy classes of subgroups — too many to draw. Only its 53 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×Q16×D67 | C2 | semidirect |
| 2. C2×#14523987 | C2 | semidirect |
| 4. #16863201 | C2 | semidirect |
| 5. #16863200 | C2 | semidirect |
| 6. (C2×D67)⋊C16 | C2 | semidirect |
| 7. C2×SD32×C67 | C2 | semidirect |
| 31. Dic268 | D4 | semidirect |
| 42. Q16×C67 | D4 | semidirect |
| 74. C2×D67 | SD32 | semidirect |
| 87. C67 | #2185 | semidirect |
| 90. C2×SD32 | D67 | semidirect |
| 123. Q16 | C22⋊D67 | semidirect |