Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
820 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 820 conjugacy classes of subgroups — too many to draw. Only its 105 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×#14273644 | C2 | semidirect |
| 3. C2×#14273643 | C2 | semidirect |
| 4. #16837365 | C2 | semidirect |
| 5. C2×#100×C59 | C2 | semidirect |
| 14. C2×#11745664 | C22 | semidirect |
| 19. C2×M16×C59 | C22 | semidirect |
| 104. C2×D59 | #100 | semidirect |
| 119. C2×#100 | D59 | semidirect |
| 121. C59 | #1783 | semidirect |
| 132. C2×M16 | C2×D59 | semidirect |