Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
300 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 83 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×#14273662 | C2 | semidirect |
| 3. C2×#14273654 | C2 | semidirect |
| 4. C2×#14273653 | C2 | semidirect |
| 5. #16837368 | C2 | semidirect |
| 6. C2×C8×Dic59 | C2 | semidirect |
| 7. C59×#408 | C2 | semidirect |
| 11. C2×#11745672 | C4 | semidirect |
| 12. C2×#11745670 | C4 | semidirect |
| 13. C2×#11745671 | C4 | semidirect |
| 14. C2×#11745669 | C4 | semidirect |
| 125. #408 | D59 | semidirect |
| 127. C59 | #1974 | semidirect |