Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
348 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 348 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×#14273650 | C2 | semidirect |
| 4. C2×C8×Dic59 | C2 | semidirect |
| 5. #16837307 | C2 | semidirect |
| 7. C2×#106×C59 | C2 | semidirect |
| 12. C2×#11745660 | C4 | semidirect |
| 77. C2×Dic59 | SD16 | semidirect |
| 86. C8×C59 | C22⋊C4 | semidirect |
| 114. C2×#106 | D59 | semidirect |
| 120. C59 | #1968 | semidirect |
| 200. C8 | (C2×D59)⋊C4 | semidirect |