Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
306 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 3. #16837162 | C2 | semidirect |
| 8. #14273686 | C4 | semidirect |
| 10. C2×C4⋊Dic59 | C4 | semidirect |
| 11. C2×C4⋊Dic59 | C4 | semidirect |
| 96. C59 | #1826 | semidirect |