Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
390 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 1. C22×#11745672 | C2 | semidirect |
| 3. C2×#14273651 | C2 | semidirect |
| 5. #16837308 | C2 | semidirect |
| 6. #16837157 | C2 | semidirect |
| 133. C59 | #2015 | semidirect |