Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
500 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 165 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. C22×#11745672 | C2 | semidirect |
| 4. #16837624 | C2 | direct (N × H) |
| 5. C2×C4⋊(C59⋊C8) | C2 | semidirect |
| 6. C2×#14273650 | C2 | semidirect |
| 8. C2×C4×Q8×C59 | C2 | semidirect |
| 12. C2×#11745672 | C22 | semidirect |
| 21. C4⋊(C59⋊C8) | C22 | semidirect |
| 22. #14273650 | C22 | semidirect |
| 26. C4×Q8×C59 | C22 | semidirect |
| 111. C2×C59 | #464 | semidirect |
| 119. C2×C4×Q8 | D59 | semidirect |
| 124. C59 | C2×#464 | semidirect |
| 137. C4×Q8 | C2×D59 | semidirect |
| 227. C2 | #16837624 | direct (N × H) |