Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
388 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14273638 | C2 | semidirect |
| 3. C4×C4⋊Dic59 | C2 | semidirect |
| 4. #16837164 | C2 | semidirect |
| 9. #14273648 | C4 | semidirect |
| 15. C4×D4×C59 | C4 | semidirect |
| 37. C4⋊Dic59 | C2×C4 | semidirect |
| 41. C2×C59⋊C8 | C2×C4 | semidirect |
| 50. D4×C59 | C42 | semidirect |
| 96. C59 | #1762 | semidirect |
| 101. C4×D4 | Dic59 | semidirect |
| 141. D4 | C4×Dic59 | semidirect |