Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
256 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 16. C4⋊C8×C59 | C4 | semidirect |
| 68. C4×C59 | #107 | semidirect |
| 89. C59 | #1947 | semidirect |
| 99. C4⋊C8 | Dic59 | semidirect |
| 155. C4 | #14273661 | semidirect |