Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
256 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 256 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 |
|---|---|---|
| 2. C2×#14273670 | C2 | semidirect |
| 3. #16837640 | C2 | semidirect |
| 4. #16837204 | C2 | semidirect |
| 5. #16837203 | C2 | semidirect |
| 6. (C2×D59)⋊C16 | C2 | semidirect |
| 7. C2×SD32×C59 | C2 | semidirect |
| 16. C2×C59⋊C16 | C22 | semidirect |
| 17. #14273661 | C22 | semidirect |
| 19. C2×Q16×C59 | C22 | semidirect |
| 22. C2×C16×C59 | C22 | semidirect |
| 79. C2×D59 | SD32 | semidirect |
| 94. C2×SD32 | D59 | semidirect |
| 99. C59 | #2187 | semidirect |
| 101. C2×Q16 | C2×D59 | semidirect |
| 112. C2×C16 | C2×D59 | semidirect |