Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
360 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 99 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. C2×#14273652 | C2 | semidirect |
| 4. C2×#14273650 | C2 | semidirect |
| 6. #16837164 | C2 | semidirect |
| 7. C59×#340 | C2 | semidirect |
| 15. #14273707 | C4 | semidirect |
| 138. #340 | D59 | semidirect |
| 139. C59 | #1894 | semidirect |