Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
308 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 10. Q8×Dic59 | C4 | semidirect |
| 59. Q8×C59 | C4⋊C4 | semidirect |
| 102. Dic59 | #103 | semidirect |
| 118. C59 | #1803 | semidirect |
| 170. Q8 | Dic59⋊C4 | semidirect |