Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
196 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 69 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. #16837143 | C2 | semidirect |
| 76. C59 | #1534 | semidirect |