Finite Group DatabasebetaFinite Group DatabasebetaOrder 8768.
202 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 202 conjugacy classes of subgroups — too many to draw. Only its 60 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×#14555518 | C2 | semidirect |
| 2. C2×C4⋊#10587739 | C2 | semidirect |
| 3. #17984150 | C2 | direct (N × H) |
| 7. #14555518 | C22 | semidirect |
| 10. C4⋊#10587739 | C22 | semidirect |
| 12. C2×D548 | C4 | semidirect |
| 16. D4×D137 | C4 | semidirect |
| 19. C2×D4×C137 | C4 | semidirect |
| 30. D548 | C2×C4 | semidirect |
| 40. D4×C137 | C2×C4 | semidirect |
| 60. C2×C137 | #102 | semidirect |
| 63. D137 | #102 | semidirect |
| 66. C137 | C2×#102 | semidirect |
| 79. C2×D4 | #10587739 | semidirect |
| 99. D4 | C2×#10587739 | semidirect |
| 131. C2 | #17984150 | direct (N × H) |