Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
360 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
| 5. #16837165 | C2 | semidirect |
| 6. #16837164 | C2 | semidirect |
| 7. C2×#107×C59 | C2 | semidirect |
| 18. (C2×D59)⋊C8 | C4 | semidirect |
| 42. C2×C8×C59 | C2×C4 | semidirect |
| 55. C2×C59⋊C8 | C2×C4 | semidirect |
| 105. C2×D59 | #107 | semidirect |
| 126. C2×#107 | D59 | semidirect |
| 131. C59 | #1852 | semidirect |
| 169. C2×C8 | C4×D59 | semidirect |