Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
492 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 157 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. #16837658 | C2 | direct (N × H) |
| 5. C2×#14273658 | C2 | semidirect |
| 6. C2×#14273651 | C2 | semidirect |
| 7. C2×#14273650 | C2 | semidirect |
| 11. C2×#11745672 | C22 | semidirect |
| 21. #14273658 | C22 | semidirect |
| 22. #14273651 | C22 | semidirect |
| 23. #14273650 | C22 | semidirect |
| 112. C2×C59 | #470 | semidirect |
| 124. C59 | C2×#470 | semidirect |
| 227. C2 | #16837658 | direct (N × H) |