Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
428 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 428 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×Dic59⋊C8 | C2 | semidirect |
| 3. C2×#14273649 | C2 | semidirect |
| 4. C2×#14273648 | C2 | semidirect |
| 5. C2×#14273647 | C2 | semidirect |
| 6. C4⋊C4×Dic59 | C2 | semidirect |
| 7. C2×#102×C59 | C2 | semidirect |
| 13. #14273723 | C4 | semidirect |
| 55. C4⋊C4×C59 | D4 | semidirect |
| 57. C4⋊Dic59 | D4 | semidirect |
| 137. Dic59 | #102 | semidirect |
| 153. C2×#102 | D59 | semidirect |
| 155. C59 | #1982 | semidirect |
| 208. C4⋊C4 | C22⋊D59 | semidirect |