Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
316 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 2. C2×#14273660 | C2 | semidirect |
| 3. C2×#14273658 | C2 | semidirect |
| 5. #16837164 | C2 | semidirect |
| 6. #16837164 | C2 | semidirect |
| 10. C2×#11745664 | C4 | semidirect |
| 88. C59⋊C8 | C22⋊C4 | semidirect |
| 128. C59 | #1809 | semidirect |