Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
456 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 456 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×C4⋊C4×D59 | C2 | semidirect |
| 3. C2×#14273648 | C2 | semidirect |
| 4. C2×(C2×D59)⋊C8 | C2 | semidirect |
| 5. #16837165 | C2 | semidirect |
| 6. #16837164 | C2 | semidirect |
| 7. C2×#102×C59 | C2 | semidirect |
| 13. #14273698 | C4 | semidirect |
| 33. C2×D4×C59 | C2×C4 | semidirect |
| 55. C4⋊C4×C59 | D4 | semidirect |
| 59. C4⋊Dic59 | C2×C4 | semidirect |
| 60. C4⋊Dic59 | D4 | semidirect |
| 130. C2×D59 | #102 | semidirect |
| 152. C2×#102 | D59 | semidirect |
| 156. C59 | #1874 | semidirect |
| 185. C2×D4 | C4×D59 | semidirect |
| 212. C4⋊C4 | C22⋊D59 | semidirect |